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Finding the Fourth Proportional to 1,182.08, 1,770.24 and 1,147.52

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Solution

The fourth proportional to 1,182.08, 1,770.24 and 1,147.52 is: 1,718.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.08 : 1,770.24 = 1,147.52 : x
  2. Step 2: Convert to fraction form
    1,182.08/1,770.24 = 1,147.52/x
  3. Step 3: Cross multiply
    1,182.08x = 1,770.24 × 1,147.52
  4. Step 4: Simplify right side
    1,182.08x = 2,031,385.80
  5. Step 5: Solve for x
    x = 2,031,385.80/1,182.08
  6. Step 6: Final answer
    x = 1,718.48

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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.