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Finding the Fourth Proportional to 3,116.56, 4,672.38 and 1,730.36

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Solution

The fourth proportional to 3,116.56, 4,672.38 and 1,730.36 is: 2,594.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,116.56 : 4,672.38 = 1,730.36 : x
  2. Step 2: Convert to fraction form
    3,116.56/4,672.38 = 1,730.36/x
  3. Step 3: Cross multiply
    3,116.56x = 4,672.38 × 1,730.36
  4. Step 4: Simplify right side
    3,116.56x = 8,084,899.46
  5. Step 5: Solve for x
    x = 8,084,899.46/3,116.56
  6. Step 6: Final answer
    x = 2,594.17

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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.