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Finding the Fourth Proportional to 2,520.16, 3,780.57 and 876.83

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Solution

The fourth proportional to 2,520.16, 3,780.57 and 876.83 is: 1,315.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,520.16 : 3,780.57 = 876.83 : x
  2. Step 2: Convert to fraction form
    2,520.16/3,780.57 = 876.83/x
  3. Step 3: Cross multiply
    2,520.16x = 3,780.57 × 876.83
  4. Step 4: Simplify right side
    2,520.16x = 3,314,917.19
  5. Step 5: Solve for x
    x = 3,314,917.19/2,520.16
  6. Step 6: Final answer
    x = 1,315.36

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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.