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Finding the Fourth Proportional to 2,903.52, 4,348.56 and 2,282.88

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Solution

The fourth proportional to 2,903.52, 4,348.56 and 2,282.88 is: 3,419.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,903.52 : 4,348.56 = 2,282.88 : x
  2. Step 2: Convert to fraction form
    2,903.52/4,348.56 = 2,282.88/x
  3. Step 3: Cross multiply
    2,903.52x = 4,348.56 × 2,282.88
  4. Step 4: Simplify right side
    2,903.52x = 9,927,240.65
  5. Step 5: Solve for x
    x = 9,927,240.65/2,903.52
  6. Step 6: Final answer
    x = 3,419.04

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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.