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Finding the Fourth Proportional to 1,597.96, 2,205.46 and 1,472.88

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Solution

The fourth proportional to 1,597.96, 2,205.46 and 1,472.88 is: 2,032.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.96 : 2,205.46 = 1,472.88 : x
  2. Step 2: Convert to fraction form
    1,597.96/2,205.46 = 1,472.88/x
  3. Step 3: Cross multiply
    1,597.96x = 2,205.46 × 1,472.88
  4. Step 4: Simplify right side
    1,597.96x = 3,248,388.04
  5. Step 5: Solve for x
    x = 3,248,388.04/1,597.96
  6. Step 6: Final answer
    x = 2,032.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.