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Finding the Fourth Proportional to 2,712.48, 3,742.92 and 2,416.56

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Solution

The fourth proportional to 2,712.48, 3,742.92 and 2,416.56 is: 3,334.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,712.48 : 3,742.92 = 2,416.56 : x
  2. Step 2: Convert to fraction form
    2,712.48/3,742.92 = 2,416.56/x
  3. Step 3: Cross multiply
    2,712.48x = 3,742.92 × 2,416.56
  4. Step 4: Simplify right side
    2,712.48x = 9,044,990.76
  5. Step 5: Solve for x
    x = 9,044,990.76/2,712.48
  6. Step 6: Final answer
    x = 3,334.58

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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.