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Finding the Fourth Proportional to 1,787.89, 2,466.87 and 1,041.46

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Solution

The fourth proportional to 1,787.89, 2,466.87 and 1,041.46 is: 1,436.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,787.89 : 2,466.87 = 1,041.46 : x
  2. Step 2: Convert to fraction form
    1,787.89/2,466.87 = 1,041.46/x
  3. Step 3: Cross multiply
    1,787.89x = 2,466.87 × 1,041.46
  4. Step 4: Simplify right side
    1,787.89x = 2,569,146.43
  5. Step 5: Solve for x
    x = 2,569,146.43/1,787.89
  6. Step 6: Final answer
    x = 1,436.97

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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.