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Finding the Fourth Proportional to 3,122.71, 4,309.31 and 1,725.46

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Solution

The fourth proportional to 3,122.71, 4,309.31 and 1,725.46 is: 2,381.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122.71 : 4,309.31 = 1,725.46 : x
  2. Step 2: Convert to fraction form
    3,122.71/4,309.31 = 1,725.46/x
  3. Step 3: Cross multiply
    3,122.71x = 4,309.31 × 1,725.46
  4. Step 4: Simplify right side
    3,122.71x = 7,435,533.41
  5. Step 5: Solve for x
    x = 7,435,533.41/3,122.71
  6. Step 6: Final answer
    x = 2,381.12

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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.