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Finding the Fourth Proportional to 3,098.71, 4,277.89 and 2,389

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Solution

The fourth proportional to 3,098.71, 4,277.89 and 2,389 is: 3,298.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.71 : 4,277.89 = 2,389 : x
  2. Step 2: Convert to fraction form
    3,098.71/4,277.89 = 2,389/x
  3. Step 3: Cross multiply
    3,098.71x = 4,277.89 × 2,389
  4. Step 4: Simplify right side
    3,098.71x = 10,219,867.27
  5. Step 5: Solve for x
    x = 10,219,867.27/3,098.71
  6. Step 6: Final answer
    x = 3,298.10

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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.