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Finding the Fourth Proportional to 2,141.57, 2,963.47 and 1,826.35

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Solution

The fourth proportional to 2,141.57, 2,963.47 and 1,826.35 is: 2,527.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141.57 : 2,963.47 = 1,826.35 : x
  2. Step 2: Convert to fraction form
    2,141.57/2,963.47 = 1,826.35/x
  3. Step 3: Cross multiply
    2,141.57x = 2,963.47 × 1,826.35
  4. Step 4: Simplify right side
    2,141.57x = 5,412,333.43
  5. Step 5: Solve for x
    x = 5,412,333.43/2,141.57
  6. Step 6: Final answer
    x = 2,527.27

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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.