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Finding the Fourth Proportional to 1,636.89, 2,259.05 and 938.13

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Solution

The fourth proportional to 1,636.89, 2,259.05 and 938.13 is: 1,294.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,636.89 : 2,259.05 = 938.13 : x
  2. Step 2: Convert to fraction form
    1,636.89/2,259.05 = 938.13/x
  3. Step 3: Cross multiply
    1,636.89x = 2,259.05 × 938.13
  4. Step 4: Simplify right side
    1,636.89x = 2,119,282.58
  5. Step 5: Solve for x
    x = 2,119,282.58/1,636.89
  6. Step 6: Final answer
    x = 1,294.70

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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.