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Finding the Fourth Proportional to 2,098.46, 2,895.03 and 1,871.24

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Solution

The fourth proportional to 2,098.46, 2,895.03 and 1,871.24 is: 2,581.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.46 : 2,895.03 = 1,871.24 : x
  2. Step 2: Convert to fraction form
    2,098.46/2,895.03 = 1,871.24/x
  3. Step 3: Cross multiply
    2,098.46x = 2,895.03 × 1,871.24
  4. Step 4: Simplify right side
    2,098.46x = 5,417,295.94
  5. Step 5: Solve for x
    x = 5,417,295.94/2,098.46
  6. Step 6: Final answer
    x = 2,581.56

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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.