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Finding the Fourth Proportional to 2,508.57, 3,760.83 and 1,776.33

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Solution

The fourth proportional to 2,508.57, 3,760.83 and 1,776.33 is: 2,663.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,508.57 : 3,760.83 = 1,776.33 : x
  2. Step 2: Convert to fraction form
    2,508.57/3,760.83 = 1,776.33/x
  3. Step 3: Cross multiply
    2,508.57x = 3,760.83 × 1,776.33
  4. Step 4: Simplify right side
    2,508.57x = 6,680,475.15
  5. Step 5: Solve for x
    x = 6,680,475.15/2,508.57
  6. Step 6: Final answer
    x = 2,663.06

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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.