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Finding the Fourth Proportional to 3,000.74, 4,498.02 and 1,151.38

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Solution

The fourth proportional to 3,000.74, 4,498.02 and 1,151.38 is: 1,725.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,000.74 : 4,498.02 = 1,151.38 : x
  2. Step 2: Convert to fraction form
    3,000.74/4,498.02 = 1,151.38/x
  3. Step 3: Cross multiply
    3,000.74x = 4,498.02 × 1,151.38
  4. Step 4: Simplify right side
    3,000.74x = 5,178,930.27
  5. Step 5: Solve for x
    x = 5,178,930.27/3,000.74
  6. Step 6: Final answer
    x = 1,725.88

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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.