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Finding the Fourth Proportional to 3,398.86, 4,689.24 and 2,140.02

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Solution

The fourth proportional to 3,398.86, 4,689.24 and 2,140.02 is: 2,952.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,398.86 : 4,689.24 = 2,140.02 : x
  2. Step 2: Convert to fraction form
    3,398.86/4,689.24 = 2,140.02/x
  3. Step 3: Cross multiply
    3,398.86x = 4,689.24 × 2,140.02
  4. Step 4: Simplify right side
    3,398.86x = 10,035,076.94
  5. Step 5: Solve for x
    x = 10,035,076.94/3,398.86
  6. Step 6: Final answer
    x = 2,952.49

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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.