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Finding the Fourth Proportional to 2,876.40, 4,313.58 and 927.96

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Solution

The fourth proportional to 2,876.40, 4,313.58 and 927.96 is: 1,391.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,876.40 : 4,313.58 = 927.96 : x
  2. Step 2: Convert to fraction form
    2,876.40/4,313.58 = 927.96/x
  3. Step 3: Cross multiply
    2,876.40x = 4,313.58 × 927.96
  4. Step 4: Simplify right side
    2,876.40x = 4,002,829.70
  5. Step 5: Solve for x
    x = 4,002,829.70/2,876.40
  6. Step 6: Final answer
    x = 1,391.61

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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.