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Finding the Fourth Proportional to 2,445.52, 3,671.92 and 987.52

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Solution

The fourth proportional to 2,445.52, 3,671.92 and 987.52 is: 1,482.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,445.52 : 3,671.92 = 987.52 : x
  2. Step 2: Convert to fraction form
    2,445.52/3,671.92 = 987.52/x
  3. Step 3: Cross multiply
    2,445.52x = 3,671.92 × 987.52
  4. Step 4: Simplify right side
    2,445.52x = 3,626,094.44
  5. Step 5: Solve for x
    x = 3,626,094.44/2,445.52
  6. Step 6: Final answer
    x = 1,482.75

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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.