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Finding the Fourth Proportional to 3,024.81, 4,539.04 and 1,176.12

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Solution

The fourth proportional to 3,024.81, 4,539.04 and 1,176.12 is: 1,764.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,024.81 : 4,539.04 = 1,176.12 : x
  2. Step 2: Convert to fraction form
    3,024.81/4,539.04 = 1,176.12/x
  3. Step 3: Cross multiply
    3,024.81x = 4,539.04 × 1,176.12
  4. Step 4: Simplify right side
    3,024.81x = 5,338,452.78
  5. Step 5: Solve for x
    x = 5,338,452.78/3,024.81
  6. Step 6: Final answer
    x = 1,764.89

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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.