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Finding the Fourth Proportional to 2,475.96, 3,415.92 and 1,979.76

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Solution

The fourth proportional to 2,475.96, 3,415.92 and 1,979.76 is: 2,731.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,475.96 : 3,415.92 = 1,979.76 : x
  2. Step 2: Convert to fraction form
    2,475.96/3,415.92 = 1,979.76/x
  3. Step 3: Cross multiply
    2,475.96x = 3,415.92 × 1,979.76
  4. Step 4: Simplify right side
    2,475.96x = 6,762,701.78
  5. Step 5: Solve for x
    x = 6,762,701.78/2,475.96
  6. Step 6: Final answer
    x = 2,731.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.