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Finding the Fourth Proportional to 1,787.57, 2,678.29 and 1,266.70

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Solution

The fourth proportional to 1,787.57, 2,678.29 and 1,266.70 is: 1,897.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,787.57 : 2,678.29 = 1,266.70 : x
  2. Step 2: Convert to fraction form
    1,787.57/2,678.29 = 1,266.70/x
  3. Step 3: Cross multiply
    1,787.57x = 2,678.29 × 1,266.70
  4. Step 4: Simplify right side
    1,787.57x = 3,392,570.22
  5. Step 5: Solve for x
    x = 3,392,570.22/1,787.57
  6. Step 6: Final answer
    x = 1,897.87

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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.