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Finding the Fourth Proportional to 2,876.31, 4,318.43 and 2,291.67

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Solution

The fourth proportional to 2,876.31, 4,318.43 and 2,291.67 is: 3,440.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,876.31 : 4,318.43 = 2,291.67 : x
  2. Step 2: Convert to fraction form
    2,876.31/4,318.43 = 2,291.67/x
  3. Step 3: Cross multiply
    2,876.31x = 4,318.43 × 2,291.67
  4. Step 4: Simplify right side
    2,876.31x = 9,896,405.02
  5. Step 5: Solve for x
    x = 9,896,405.02/2,876.31
  6. Step 6: Final answer
    x = 3,440.66

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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.