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Finding the Fourth Proportional to 2,464.52, 3,697.32 and 1,370.48

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Solution

The fourth proportional to 2,464.52, 3,697.32 and 1,370.48 is: 2,056.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,464.52 : 3,697.32 = 1,370.48 : x
  2. Step 2: Convert to fraction form
    2,464.52/3,697.32 = 1,370.48/x
  3. Step 3: Cross multiply
    2,464.52x = 3,697.32 × 1,370.48
  4. Step 4: Simplify right side
    2,464.52x = 5,067,103.11
  5. Step 5: Solve for x
    x = 5,067,103.11/2,464.52
  6. Step 6: Final answer
    x = 2,056.02

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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.