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Finding the Fourth Proportional to 2,938.04, 4,407.38 and 963.88

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Solution

The fourth proportional to 2,938.04, 4,407.38 and 963.88 is: 1,445.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,938.04 : 4,407.38 = 963.88 : x
  2. Step 2: Convert to fraction form
    2,938.04/4,407.38 = 963.88/x
  3. Step 3: Cross multiply
    2,938.04x = 4,407.38 × 963.88
  4. Step 4: Simplify right side
    2,938.04x = 4,248,185.43
  5. Step 5: Solve for x
    x = 4,248,185.43/2,938.04
  6. Step 6: Final answer
    x = 1,445.92

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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.