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Finding the Fourth Proportional to 1,521.37, 2,098.87 and 997.71

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Solution

The fourth proportional to 1,521.37, 2,098.87 and 997.71 is: 1,376.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,521.37 : 2,098.87 = 997.71 : x
  2. Step 2: Convert to fraction form
    1,521.37/2,098.87 = 997.71/x
  3. Step 3: Cross multiply
    1,521.37x = 2,098.87 × 997.71
  4. Step 4: Simplify right side
    1,521.37x = 2,094,063.59
  5. Step 5: Solve for x
    x = 2,094,063.59/1,521.37
  6. Step 6: Final answer
    x = 1,376.43

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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.