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Finding the Fourth Proportional to 1,647.72, 2,469.40 and 987.47

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Solution

The fourth proportional to 1,647.72, 2,469.40 and 987.47 is: 1,479.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.72 : 2,469.40 = 987.47 : x
  2. Step 2: Convert to fraction form
    1,647.72/2,469.40 = 987.47/x
  3. Step 3: Cross multiply
    1,647.72x = 2,469.40 × 987.47
  4. Step 4: Simplify right side
    1,647.72x = 2,438,443.60
  5. Step 5: Solve for x
    x = 2,438,443.60/1,647.72
  6. Step 6: Final answer
    x = 1,479.89

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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.