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Finding the Fourth Proportional to 2,089.17, 3,129.51 and 990.21

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Solution

The fourth proportional to 2,089.17, 3,129.51 and 990.21 is: 1,483.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.17 : 3,129.51 = 990.21 : x
  2. Step 2: Convert to fraction form
    2,089.17/3,129.51 = 990.21/x
  3. Step 3: Cross multiply
    2,089.17x = 3,129.51 × 990.21
  4. Step 4: Simplify right side
    2,089.17x = 3,098,872.10
  5. Step 5: Solve for x
    x = 3,098,872.10/2,089.17
  6. Step 6: Final answer
    x = 1,483.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.