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Finding the Fourth Proportional to 3,314.92, 4,572.68 and 1,987.85

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Solution

The fourth proportional to 3,314.92, 4,572.68 and 1,987.85 is: 2,742.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,314.92 : 4,572.68 = 1,987.85 : x
  2. Step 2: Convert to fraction form
    3,314.92/4,572.68 = 1,987.85/x
  3. Step 3: Cross multiply
    3,314.92x = 4,572.68 × 1,987.85
  4. Step 4: Simplify right side
    3,314.92x = 9,089,801.94
  5. Step 5: Solve for x
    x = 9,089,801.94/3,314.92
  6. Step 6: Final answer
    x = 2,742.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.