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Finding the Fourth Proportional to 1,684.06, 2,324.14 and 938.16

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Solution

The fourth proportional to 1,684.06, 2,324.14 and 938.16 is: 1,294.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684.06 : 2,324.14 = 938.16 : x
  2. Step 2: Convert to fraction form
    1,684.06/2,324.14 = 938.16/x
  3. Step 3: Cross multiply
    1,684.06x = 2,324.14 × 938.16
  4. Step 4: Simplify right side
    1,684.06x = 2,180,412.84
  5. Step 5: Solve for x
    x = 2,180,412.84/1,684.06
  6. Step 6: Final answer
    x = 1,294.74

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.