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Finding the Fourth Proportional to 1,449.24, 2,170.32 and 754.92

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Solution

The fourth proportional to 1,449.24, 2,170.32 and 754.92 is: 1,130.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,449.24 : 2,170.32 = 754.92 : x
  2. Step 2: Convert to fraction form
    1,449.24/2,170.32 = 754.92/x
  3. Step 3: Cross multiply
    1,449.24x = 2,170.32 × 754.92
  4. Step 4: Simplify right side
    1,449.24x = 1,638,417.97
  5. Step 5: Solve for x
    x = 1,638,417.97/1,449.24
  6. Step 6: Final answer
    x = 1,130.54

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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.