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Finding the Fourth Proportional to 2,465.60, 3,691.76 and 2,034.72

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Solution

The fourth proportional to 2,465.60, 3,691.76 and 2,034.72 is: 3,046.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,465.60 : 3,691.76 = 2,034.72 : x
  2. Step 2: Convert to fraction form
    2,465.60/3,691.76 = 2,034.72/x
  3. Step 3: Cross multiply
    2,465.60x = 3,691.76 × 2,034.72
  4. Step 4: Simplify right side
    2,465.60x = 7,511,697.91
  5. Step 5: Solve for x
    x = 7,511,697.91/2,465.60
  6. Step 6: Final answer
    x = 3,046.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.