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Finding the Fourth Proportional to 3,116.74, 4,301.22 and 1,719.50

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Solution

The fourth proportional to 3,116.74, 4,301.22 and 1,719.50 is: 2,372.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,116.74 : 4,301.22 = 1,719.50 : x
  2. Step 2: Convert to fraction form
    3,116.74/4,301.22 = 1,719.50/x
  3. Step 3: Cross multiply
    3,116.74x = 4,301.22 × 1,719.50
  4. Step 4: Simplify right side
    3,116.74x = 7,395,947.79
  5. Step 5: Solve for x
    x = 7,395,947.79/3,116.74
  6. Step 6: Final answer
    x = 2,372.98

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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.