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Finding the Fourth Proportional to 2,801.92, 4,193.12 and 2,302.32

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Solution

The fourth proportional to 2,801.92, 4,193.12 and 2,302.32 is: 3,445.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,801.92 : 4,193.12 = 2,302.32 : x
  2. Step 2: Convert to fraction form
    2,801.92/4,193.12 = 2,302.32/x
  3. Step 3: Cross multiply
    2,801.92x = 4,193.12 × 2,302.32
  4. Step 4: Simplify right side
    2,801.92x = 9,653,912.57
  5. Step 5: Solve for x
    x = 9,653,912.57/2,801.92
  6. Step 6: Final answer
    x = 3,445.47

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1.5x scale

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.