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Finding the Fourth Proportional to 2,002.05, 3,000.65 and 1,452.87

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Solution

The fourth proportional to 2,002.05, 3,000.65 and 1,452.87 is: 2,177.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.05 : 3,000.65 = 1,452.87 : x
  2. Step 2: Convert to fraction form
    2,002.05/3,000.65 = 1,452.87/x
  3. Step 3: Cross multiply
    2,002.05x = 3,000.65 × 1,452.87
  4. Step 4: Simplify right side
    2,002.05x = 4,359,547.10
  5. Step 5: Solve for x
    x = 4,359,547.10/2,002.05
  6. Step 6: Final answer
    x = 2,177.54

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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.