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Finding the Fourth Proportional to 2,862.64, 4,291.20 and 1,823.92

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Solution

The fourth proportional to 2,862.64, 4,291.20 and 1,823.92 is: 2,734.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,862.64 : 4,291.20 = 1,823.92 : x
  2. Step 2: Convert to fraction form
    2,862.64/4,291.20 = 1,823.92/x
  3. Step 3: Cross multiply
    2,862.64x = 4,291.20 × 1,823.92
  4. Step 4: Simplify right side
    2,862.64x = 7,826,805.50
  5. Step 5: Solve for x
    x = 7,826,805.50/2,862.64
  6. Step 6: Final answer
    x = 2,734.12

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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.