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Finding the Fourth Proportional to 1,850.72, 2,776.88 and 755.87

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Solution

The fourth proportional to 1,850.72, 2,776.88 and 755.87 is: 1,134.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,850.72 : 2,776.88 = 755.87 : x
  2. Step 2: Convert to fraction form
    1,850.72/2,776.88 = 755.87/x
  3. Step 3: Cross multiply
    1,850.72x = 2,776.88 × 755.87
  4. Step 4: Simplify right side
    1,850.72x = 2,098,948.29
  5. Step 5: Solve for x
    x = 2,098,948.29/1,850.72
  6. Step 6: Final answer
    x = 1,134.13

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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.