Home / 1,689.24-2,331.14-943.19

Finding the Fourth Proportional to 1,689.24, 2,331.14 and 943.19

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Solution

The fourth proportional to 1,689.24, 2,331.14 and 943.19 is: 1,301.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.24 : 2,331.14 = 943.19 : x
  2. Step 2: Convert to fraction form
    1,689.24/2,331.14 = 943.19/x
  3. Step 3: Cross multiply
    1,689.24x = 2,331.14 × 943.19
  4. Step 4: Simplify right side
    1,689.24x = 2,198,707.94
  5. Step 5: Solve for x
    x = 2,198,707.94/1,689.24
  6. Step 6: Final answer
    x = 1,301.60

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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.