Home / 1,565.67-2,158.77-1,006.17

Finding the Fourth Proportional to 1,565.67, 2,158.77 and 1,006.17

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Solution

The fourth proportional to 1,565.67, 2,158.77 and 1,006.17 is: 1,387.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.67 : 2,158.77 = 1,006.17 : x
  2. Step 2: Convert to fraction form
    1,565.67/2,158.77 = 1,006.17/x
  3. Step 3: Cross multiply
    1,565.67x = 2,158.77 × 1,006.17
  4. Step 4: Simplify right side
    1,565.67x = 2,172,073.79
  5. Step 5: Solve for x
    x = 2,172,073.79/1,565.67
  6. Step 6: Final answer
    x = 1,387.31

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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.