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Finding the Fourth Proportional to 3,024.99, 4,171.28 and 2,394.50

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Solution

The fourth proportional to 3,024.99, 4,171.28 and 2,394.50 is: 3,301.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,024.99 : 4,171.28 = 2,394.50 : x
  2. Step 2: Convert to fraction form
    3,024.99/4,171.28 = 2,394.50/x
  3. Step 3: Cross multiply
    3,024.99x = 4,171.28 × 2,394.50
  4. Step 4: Simplify right side
    3,024.99x = 9,988,097.13
  5. Step 5: Solve for x
    x = 9,988,097.13/3,024.99
  6. Step 6: Final answer
    x = 3,301.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.