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Finding the Fourth Proportional to 2,585.88, 3,871.94 and 1,765.76

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Solution

The fourth proportional to 2,585.88, 3,871.94 and 1,765.76 is: 2,643.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,585.88 : 3,871.94 = 1,765.76 : x
  2. Step 2: Convert to fraction form
    2,585.88/3,871.94 = 1,765.76/x
  3. Step 3: Cross multiply
    2,585.88x = 3,871.94 × 1,765.76
  4. Step 4: Simplify right side
    2,585.88x = 6,836,902.68
  5. Step 5: Solve for x
    x = 6,836,902.68/2,585.88
  6. Step 6: Final answer
    x = 2,643.93

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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.