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Finding the Fourth Proportional to 1,787.46, 2,466.72 and 990.80

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Solution

The fourth proportional to 1,787.46, 2,466.72 and 990.80 is: 1,367.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,787.46 : 2,466.72 = 990.80 : x
  2. Step 2: Convert to fraction form
    1,787.46/2,466.72 = 990.80/x
  3. Step 3: Cross multiply
    1,787.46x = 2,466.72 × 990.80
  4. Step 4: Simplify right side
    1,787.46x = 2,444,026.18
  5. Step 5: Solve for x
    x = 2,444,026.18/1,787.46
  6. Step 6: Final answer
    x = 1,367.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.