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Finding the Fourth Proportional to 2,399.47, 3,604.65 and 2,071.42

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Solution

The fourth proportional to 2,399.47, 3,604.65 and 2,071.42 is: 3,111.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,399.47 : 3,604.65 = 2,071.42 : x
  2. Step 2: Convert to fraction form
    2,399.47/3,604.65 = 2,071.42/x
  3. Step 3: Cross multiply
    2,399.47x = 3,604.65 × 2,071.42
  4. Step 4: Simplify right side
    2,399.47x = 7,466,744.10
  5. Step 5: Solve for x
    x = 7,466,744.10/2,399.47
  6. Step 6: Final answer
    x = 3,111.83

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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.