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Finding the Fourth Proportional to 2,549.59, 3,807.12 and 2,023.69

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Solution

The fourth proportional to 2,549.59, 3,807.12 and 2,023.69 is: 3,021.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,549.59 : 3,807.12 = 2,023.69 : x
  2. Step 2: Convert to fraction form
    2,549.59/3,807.12 = 2,023.69/x
  3. Step 3: Cross multiply
    2,549.59x = 3,807.12 × 2,023.69
  4. Step 4: Simplify right side
    2,549.59x = 7,704,420.55
  5. Step 5: Solve for x
    x = 7,704,420.55/2,549.59
  6. Step 6: Final answer
    x = 3,021.83

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.