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Finding the Fourth Proportional to 1,565.96, 2,337.50 and 1,451.75

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Solution

The fourth proportional to 1,565.96, 2,337.50 and 1,451.75 is: 2,167.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.96 : 2,337.50 = 1,451.75 : x
  2. Step 2: Convert to fraction form
    1,565.96/2,337.50 = 1,451.75/x
  3. Step 3: Cross multiply
    1,565.96x = 2,337.50 × 1,451.75
  4. Step 4: Simplify right side
    1,565.96x = 3,393,457.57
  5. Step 5: Solve for x
    x = 3,393,457.57/1,565.96
  6. Step 6: Final answer
    x = 2,167.02

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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.