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Finding the Fourth Proportional to 2,437.74, 3,654.72 and 1,464.48

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Solution

The fourth proportional to 2,437.74, 3,654.72 and 1,464.48 is: 2,195.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,437.74 : 3,654.72 = 1,464.48 : x
  2. Step 2: Convert to fraction form
    2,437.74/3,654.72 = 1,464.48/x
  3. Step 3: Cross multiply
    2,437.74x = 3,654.72 × 1,464.48
  4. Step 4: Simplify right side
    2,437.74x = 5,352,264.35
  5. Step 5: Solve for x
    x = 5,352,264.35/2,437.74
  6. Step 6: Final answer
    x = 2,195.58

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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.