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Finding the Fourth Proportional to 1,565.57, 2,348.36 and 1,017.47

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Solution

The fourth proportional to 1,565.57, 2,348.36 and 1,017.47 is: 1,526.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.57 : 2,348.36 = 1,017.47 : x
  2. Step 2: Convert to fraction form
    1,565.57/2,348.36 = 1,017.47/x
  3. Step 3: Cross multiply
    1,565.57x = 2,348.36 × 1,017.47
  4. Step 4: Simplify right side
    1,565.57x = 2,389,385.85
  5. Step 5: Solve for x
    x = 2,389,385.85/1,565.57
  6. Step 6: Final answer
    x = 1,526.21

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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.