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Finding the Fourth Proportional to 3,024.52, 4,537.52 and 1,175.76

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Solution

The fourth proportional to 3,024.52, 4,537.52 and 1,175.76 is: 1,763.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,024.52 : 4,537.52 = 1,175.76 : x
  2. Step 2: Convert to fraction form
    3,024.52/4,537.52 = 1,175.76/x
  3. Step 3: Cross multiply
    3,024.52x = 4,537.52 × 1,175.76
  4. Step 4: Simplify right side
    3,024.52x = 5,335,034.52
  5. Step 5: Solve for x
    x = 5,335,034.52/3,024.52
  6. Step 6: Final answer
    x = 1,763.93

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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.