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Finding the Fourth Proportional to 2,954.83, 4,432.26 and 874.88

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Solution

The fourth proportional to 2,954.83, 4,432.26 and 874.88 is: 1,312.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,954.83 : 4,432.26 = 874.88 : x
  2. Step 2: Convert to fraction form
    2,954.83/4,432.26 = 874.88/x
  3. Step 3: Cross multiply
    2,954.83x = 4,432.26 × 874.88
  4. Step 4: Simplify right side
    2,954.83x = 3,877,680.29
  5. Step 5: Solve for x
    x = 3,877,680.29/2,954.83
  6. Step 6: Final answer
    x = 1,312.32

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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.