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Finding the Fourth Proportional to 3,023.52, 4,536.02 and 1,174.76

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Solution

The fourth proportional to 3,023.52, 4,536.02 and 1,174.76 is: 1,762.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,023.52 : 4,536.02 = 1,174.76 : x
  2. Step 2: Convert to fraction form
    3,023.52/4,536.02 = 1,174.76/x
  3. Step 3: Cross multiply
    3,023.52x = 4,536.02 × 1,174.76
  4. Step 4: Simplify right side
    3,023.52x = 5,328,734.86
  5. Step 5: Solve for x
    x = 5,328,734.86/3,023.52
  6. Step 6: Final answer
    x = 1,762.43

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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.