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Finding the Fourth Proportional to 2,580.71, 3,864.58 and 2,035.85

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Solution

The fourth proportional to 2,580.71, 3,864.58 and 2,035.85 is: 3,048.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,580.71 : 3,864.58 = 2,035.85 : x
  2. Step 2: Convert to fraction form
    2,580.71/3,864.58 = 2,035.85/x
  3. Step 3: Cross multiply
    2,580.71x = 3,864.58 × 2,035.85
  4. Step 4: Simplify right side
    2,580.71x = 7,867,680.78
  5. Step 5: Solve for x
    x = 7,867,680.78/2,580.71
  6. Step 6: Final answer
    x = 3,048.66

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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.