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Finding the Fourth Proportional to 1,787.46, 2,466.71 and 990.81

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Solution

The fourth proportional to 1,787.46, 2,466.71 and 990.81 is: 1,367.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,787.46 : 2,466.71 = 990.81 : x
  2. Step 2: Convert to fraction form
    1,787.46/2,466.71 = 990.81/x
  3. Step 3: Cross multiply
    1,787.46x = 2,466.71 × 990.81
  4. Step 4: Simplify right side
    1,787.46x = 2,444,040.94
  5. Step 5: Solve for x
    x = 2,444,040.94/1,787.46
  6. Step 6: Final answer
    x = 1,367.33

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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.