Home / 1,565.49-2,160.72-1,407.84

Finding the Fourth Proportional to 1,565.49, 2,160.72 and 1,407.84

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Solution

The fourth proportional to 1,565.49, 2,160.72 and 1,407.84 is: 1,943.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.49 : 2,160.72 = 1,407.84 : x
  2. Step 2: Convert to fraction form
    1,565.49/2,160.72 = 1,407.84/x
  3. Step 3: Cross multiply
    1,565.49x = 2,160.72 × 1,407.84
  4. Step 4: Simplify right side
    1,565.49x = 3,041,948.04
  5. Step 5: Solve for x
    x = 3,041,948.04/1,565.49
  6. Step 6: Final answer
    x = 1,943.13

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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.