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Finding the Fourth Proportional to 2,348.52, 3,240.32 and 1,464.47

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Solution

The fourth proportional to 2,348.52, 3,240.32 and 1,464.47 is: 2,020.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,348.52 : 3,240.32 = 1,464.47 : x
  2. Step 2: Convert to fraction form
    2,348.52/3,240.32 = 1,464.47/x
  3. Step 3: Cross multiply
    2,348.52x = 3,240.32 × 1,464.47
  4. Step 4: Simplify right side
    2,348.52x = 4,745,327.91
  5. Step 5: Solve for x
    x = 4,745,327.91/2,348.52
  6. Step 6: Final answer
    x = 2,020.56

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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.