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Finding the Fourth Proportional to 1,449.24, 2,174.90 and 987.95

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Solution

The fourth proportional to 1,449.24, 2,174.90 and 987.95 is: 1,482.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,449.24 : 2,174.90 = 987.95 : x
  2. Step 2: Convert to fraction form
    1,449.24/2,174.90 = 987.95/x
  3. Step 3: Cross multiply
    1,449.24x = 2,174.90 × 987.95
  4. Step 4: Simplify right side
    1,449.24x = 2,148,676.64
  5. Step 5: Solve for x
    x = 2,148,676.64/1,449.24
  6. Step 6: Final answer
    x = 1,482.62

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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.