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Finding the Fourth Proportional to 2,398.71, 3,580.94 and 2,029.56

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Solution

The fourth proportional to 2,398.71, 3,580.94 and 2,029.56 is: 3,029.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,398.71 : 3,580.94 = 2,029.56 : x
  2. Step 2: Convert to fraction form
    2,398.71/3,580.94 = 2,029.56/x
  3. Step 3: Cross multiply
    2,398.71x = 3,580.94 × 2,029.56
  4. Step 4: Simplify right side
    2,398.71x = 7,267,732.59
  5. Step 5: Solve for x
    x = 7,267,732.59/2,398.71
  6. Step 6: Final answer
    x = 3,029.85

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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.