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Finding the Fourth Proportional to 2,520.30, 3,778.29 and 876.63

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Solution

The fourth proportional to 2,520.30, 3,778.29 and 876.63 is: 1,314.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,520.30 : 3,778.29 = 876.63 : x
  2. Step 2: Convert to fraction form
    2,520.30/3,778.29 = 876.63/x
  3. Step 3: Cross multiply
    2,520.30x = 3,778.29 × 876.63
  4. Step 4: Simplify right side
    2,520.30x = 3,312,176.53
  5. Step 5: Solve for x
    x = 3,312,176.53/2,520.30
  6. Step 6: Final answer
    x = 1,314.20

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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.