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Finding the Fourth Proportional to 2,725.86, 4,088.94 and 876.84

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Solution

The fourth proportional to 2,725.86, 4,088.94 and 876.84 is: 1,315.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,725.86 : 4,088.94 = 876.84 : x
  2. Step 2: Convert to fraction form
    2,725.86/4,088.94 = 876.84/x
  3. Step 3: Cross multiply
    2,725.86x = 4,088.94 × 876.84
  4. Step 4: Simplify right side
    2,725.86x = 3,585,346.15
  5. Step 5: Solve for x
    x = 3,585,346.15/2,725.86
  6. Step 6: Final answer
    x = 1,315.31

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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.