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Finding the Fourth Proportional to 3,141.57, 4,710.18 and 1,826.13

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Solution

The fourth proportional to 3,141.57, 4,710.18 and 1,826.13 is: 2,737.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141.57 : 4,710.18 = 1,826.13 : x
  2. Step 2: Convert to fraction form
    3,141.57/4,710.18 = 1,826.13/x
  3. Step 3: Cross multiply
    3,141.57x = 4,710.18 × 1,826.13
  4. Step 4: Simplify right side
    3,141.57x = 8,601,401.00
  5. Step 5: Solve for x
    x = 8,601,401.00/3,141.57
  6. Step 6: Final answer
    x = 2,737.93

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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.