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Finding the Fourth Proportional to 2,429.93, 3,644.68 and 1,455.32

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Solution

The fourth proportional to 2,429.93, 3,644.68 and 1,455.32 is: 2,182.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,429.93 : 3,644.68 = 1,455.32 : x
  2. Step 2: Convert to fraction form
    2,429.93/3,644.68 = 1,455.32/x
  3. Step 3: Cross multiply
    2,429.93x = 3,644.68 × 1,455.32
  4. Step 4: Simplify right side
    2,429.93x = 5,304,175.70
  5. Step 5: Solve for x
    x = 5,304,175.70/2,429.93
  6. Step 6: Final answer
    x = 2,182.85

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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.