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Finding the Fourth Proportional to 1,565.30, 2,347.09 and 1,072.28

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Solution

The fourth proportional to 1,565.30, 2,347.09 and 1,072.28 is: 1,607.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.30 : 2,347.09 = 1,072.28 : x
  2. Step 2: Convert to fraction form
    1,565.30/2,347.09 = 1,072.28/x
  3. Step 3: Cross multiply
    1,565.30x = 2,347.09 × 1,072.28
  4. Step 4: Simplify right side
    1,565.30x = 2,516,720.57
  5. Step 5: Solve for x
    x = 2,516,720.57/1,565.30
  6. Step 6: Final answer
    x = 1,607.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.