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Finding the Fourth Proportional to 2,087.71, 3,132.11 and 1,047.67

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Solution

The fourth proportional to 2,087.71, 3,132.11 and 1,047.67 is: 1,571.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.71 : 3,132.11 = 1,047.67 : x
  2. Step 2: Convert to fraction form
    2,087.71/3,132.11 = 1,047.67/x
  3. Step 3: Cross multiply
    2,087.71x = 3,132.11 × 1,047.67
  4. Step 4: Simplify right side
    2,087.71x = 3,281,417.68
  5. Step 5: Solve for x
    x = 3,281,417.68/2,087.71
  6. Step 6: Final answer
    x = 1,571.78

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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.