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Finding the Fourth Proportional to 3,116.97, 4,298.46 and 2,407.68

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Solution

The fourth proportional to 3,116.97, 4,298.46 and 2,407.68 is: 3,320.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,116.97 : 4,298.46 = 2,407.68 : x
  2. Step 2: Convert to fraction form
    3,116.97/4,298.46 = 2,407.68/x
  3. Step 3: Cross multiply
    3,116.97x = 4,298.46 × 2,407.68
  4. Step 4: Simplify right side
    3,116.97x = 10,349,316.17
  5. Step 5: Solve for x
    x = 10,349,316.17/3,116.97
  6. Step 6: Final answer
    x = 3,320.31

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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.