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Finding the Fourth Proportional to 2,867.08, 4,301.16 and 918.76

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Solution

The fourth proportional to 2,867.08, 4,301.16 and 918.76 is: 1,378.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,867.08 : 4,301.16 = 918.76 : x
  2. Step 2: Convert to fraction form
    2,867.08/4,301.16 = 918.76/x
  3. Step 3: Cross multiply
    2,867.08x = 4,301.16 × 918.76
  4. Step 4: Simplify right side
    2,867.08x = 3,951,733.76
  5. Step 5: Solve for x
    x = 3,951,733.76/2,867.08
  6. Step 6: Final answer
    x = 1,378.31

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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.