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Finding the Fourth Proportional to 2,851.02, 4,276.82 and 876.62

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Solution

The fourth proportional to 2,851.02, 4,276.82 and 876.62 is: 1,315.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,851.02 : 4,276.82 = 876.62 : x
  2. Step 2: Convert to fraction form
    2,851.02/4,276.82 = 876.62/x
  3. Step 3: Cross multiply
    2,851.02x = 4,276.82 × 876.62
  4. Step 4: Simplify right side
    2,851.02x = 3,749,158.83
  5. Step 5: Solve for x
    x = 3,749,158.83/2,851.02
  6. Step 6: Final answer
    x = 1,315.02

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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.