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Finding the Fourth Proportional to 3,116.96, 4,672.56 and 1,653.92

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Solution

The fourth proportional to 3,116.96, 4,672.56 and 1,653.92 is: 2,479.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,116.96 : 4,672.56 = 1,653.92 : x
  2. Step 2: Convert to fraction form
    3,116.96/4,672.56 = 1,653.92/x
  3. Step 3: Cross multiply
    3,116.96x = 4,672.56 × 1,653.92
  4. Step 4: Simplify right side
    3,116.96x = 7,728,040.44
  5. Step 5: Solve for x
    x = 7,728,040.44/3,116.96
  6. Step 6: Final answer
    x = 2,479.35

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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.