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Finding the Fourth Proportional to 1,565.01, 2,162.57 and 1,489.10

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Solution

The fourth proportional to 1,565.01, 2,162.57 and 1,489.10 is: 2,057.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.01 : 2,162.57 = 1,489.10 : x
  2. Step 2: Convert to fraction form
    1,565.01/2,162.57 = 1,489.10/x
  3. Step 3: Cross multiply
    1,565.01x = 2,162.57 × 1,489.10
  4. Step 4: Simplify right side
    1,565.01x = 3,220,282.99
  5. Step 5: Solve for x
    x = 3,220,282.99/1,565.01
  6. Step 6: Final answer
    x = 2,057.68

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