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Finding the Fourth Proportional to 2,427.62, 3,642.32 and 1,454.40

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Solution

The fourth proportional to 2,427.62, 3,642.32 and 1,454.40 is: 2,182.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,427.62 : 3,642.32 = 1,454.40 : x
  2. Step 2: Convert to fraction form
    2,427.62/3,642.32 = 1,454.40/x
  3. Step 3: Cross multiply
    2,427.62x = 3,642.32 × 1,454.40
  4. Step 4: Simplify right side
    2,427.62x = 5,297,390.21
  5. Step 5: Solve for x
    x = 5,297,390.21/2,427.62
  6. Step 6: Final answer
    x = 2,182.13

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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.