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Finding the Fourth Proportional to 1,565.61, 2,337.20 and 1,456.26

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Solution

The fourth proportional to 1,565.61, 2,337.20 and 1,456.26 is: 2,173.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.61 : 2,337.20 = 1,456.26 : x
  2. Step 2: Convert to fraction form
    1,565.61/2,337.20 = 1,456.26/x
  3. Step 3: Cross multiply
    1,565.61x = 2,337.20 × 1,456.26
  4. Step 4: Simplify right side
    1,565.61x = 3,403,570.87
  5. Step 5: Solve for x
    x = 3,403,570.87/1,565.61
  6. Step 6: Final answer
    x = 2,173.96

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.