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Finding the Fourth Proportional to 2,849.76, 4,274.52 and 875.30

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Solution

The fourth proportional to 2,849.76, 4,274.52 and 875.30 is: 1,312.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,849.76 : 4,274.52 = 875.30 : x
  2. Step 2: Convert to fraction form
    2,849.76/4,274.52 = 875.30/x
  3. Step 3: Cross multiply
    2,849.76x = 4,274.52 × 875.30
  4. Step 4: Simplify right side
    2,849.76x = 3,741,487.36
  5. Step 5: Solve for x
    x = 3,741,487.36/2,849.76
  6. Step 6: Final answer
    x = 1,312.91

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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.