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Finding the Fourth Proportional to 1,565.73, 2,151.77 and 1,285.47

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Solution

The fourth proportional to 1,565.73, 2,151.77 and 1,285.47 is: 1,766.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.73 : 2,151.77 = 1,285.47 : x
  2. Step 2: Convert to fraction form
    1,565.73/2,151.77 = 1,285.47/x
  3. Step 3: Cross multiply
    1,565.73x = 2,151.77 × 1,285.47
  4. Step 4: Simplify right side
    1,565.73x = 2,766,029.35
  5. Step 5: Solve for x
    x = 2,766,029.35/1,565.73
  6. Step 6: Final answer
    x = 1,766.61

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.