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Finding the Fourth Proportional to 1,787.15, 2,466.20 and 990.50

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Solution

The fourth proportional to 1,787.15, 2,466.20 and 990.50 is: 1,366.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,787.15 : 2,466.20 = 990.50 : x
  2. Step 2: Convert to fraction form
    1,787.15/2,466.20 = 990.50/x
  3. Step 3: Cross multiply
    1,787.15x = 2,466.20 × 990.50
  4. Step 4: Simplify right side
    1,787.15x = 2,442,753.82
  5. Step 5: Solve for x
    x = 2,442,753.82/1,787.15
  6. Step 6: Final answer
    x = 1,366.85

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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.