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Finding the Fourth Proportional to 2,954.80, 4,432.96 and 874.88

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Solution

The fourth proportional to 2,954.80, 4,432.96 and 874.88 is: 1,312.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,954.80 : 4,432.96 = 874.88 : x
  2. Step 2: Convert to fraction form
    2,954.80/4,432.96 = 874.88/x
  3. Step 3: Cross multiply
    2,954.80x = 4,432.96 × 874.88
  4. Step 4: Simplify right side
    2,954.80x = 3,878,308.04
  5. Step 5: Solve for x
    x = 3,878,308.04/2,954.80
  6. Step 6: Final answer
    x = 1,312.55

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