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Finding the Fourth Proportional to 2,718.32, 4,077.24 and 986.96

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Solution

The fourth proportional to 2,718.32, 4,077.24 and 986.96 is: 1,480.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,718.32 : 4,077.24 = 986.96 : x
  2. Step 2: Convert to fraction form
    2,718.32/4,077.24 = 986.96/x
  3. Step 3: Cross multiply
    2,718.32x = 4,077.24 × 986.96
  4. Step 4: Simplify right side
    2,718.32x = 4,024,072.79
  5. Step 5: Solve for x
    x = 4,024,072.79/2,718.32
  6. Step 6: Final answer
    x = 1,480.35

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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.