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Finding the Fourth Proportional to 1,858.17, 2,787.26 and 761.77

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Solution

The fourth proportional to 1,858.17, 2,787.26 and 761.77 is: 1,142.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,858.17 : 2,787.26 = 761.77 : x
  2. Step 2: Convert to fraction form
    1,858.17/2,787.26 = 761.77/x
  3. Step 3: Cross multiply
    1,858.17x = 2,787.26 × 761.77
  4. Step 4: Simplify right side
    1,858.17x = 2,123,251.05
  5. Step 5: Solve for x
    x = 2,123,251.05/1,858.17
  6. Step 6: Final answer
    x = 1,142.66

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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.