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Finding the Fourth Proportional to 2,865.57, 4,295.31 and 1,822.29

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Solution

The fourth proportional to 2,865.57, 4,295.31 and 1,822.29 is: 2,731.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,865.57 : 4,295.31 = 1,822.29 : x
  2. Step 2: Convert to fraction form
    2,865.57/4,295.31 = 1,822.29/x
  3. Step 3: Cross multiply
    2,865.57x = 4,295.31 × 1,822.29
  4. Step 4: Simplify right side
    2,865.57x = 7,827,300.46
  5. Step 5: Solve for x
    x = 7,827,300.46/2,865.57
  6. Step 6: Final answer
    x = 2,731.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.