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Finding the Fourth Proportional to 2,712.72, 3,740.58 and 2,151.30

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Solution

The fourth proportional to 2,712.72, 3,740.58 and 2,151.30 is: 2,966.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,712.72 : 3,740.58 = 2,151.30 : x
  2. Step 2: Convert to fraction form
    2,712.72/3,740.58 = 2,151.30/x
  3. Step 3: Cross multiply
    2,712.72x = 3,740.58 × 2,151.30
  4. Step 4: Simplify right side
    2,712.72x = 8,047,109.75
  5. Step 5: Solve for x
    x = 8,047,109.75/2,712.72
  6. Step 6: Final answer
    x = 2,966.44

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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.