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Finding the Fourth Proportional to 3,141.44, 4,710.54 and 1,661.46

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Solution

The fourth proportional to 3,141.44, 4,710.54 and 1,661.46 is: 2,491.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141.44 : 4,710.54 = 1,661.46 : x
  2. Step 2: Convert to fraction form
    3,141.44/4,710.54 = 1,661.46/x
  3. Step 3: Cross multiply
    3,141.44x = 4,710.54 × 1,661.46
  4. Step 4: Simplify right side
    3,141.44x = 7,826,373.79
  5. Step 5: Solve for x
    x = 7,826,373.79/3,141.44
  6. Step 6: Final answer
    x = 2,491.33

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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.