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Finding the Fourth Proportional to 1,497.52, 2,244.48 and 839.03

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Solution

The fourth proportional to 1,497.52, 2,244.48 and 839.03 is: 1,257.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.52 : 2,244.48 = 839.03 : x
  2. Step 2: Convert to fraction form
    1,497.52/2,244.48 = 839.03/x
  3. Step 3: Cross multiply
    1,497.52x = 2,244.48 × 839.03
  4. Step 4: Simplify right side
    1,497.52x = 1,883,171.69
  5. Step 5: Solve for x
    x = 1,883,171.69/1,497.52
  6. Step 6: Final answer
    x = 1,257.53

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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.