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Finding the Fourth Proportional to 2,725.39, 4,088.16 and 876.69

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Solution

The fourth proportional to 2,725.39, 4,088.16 and 876.69 is: 1,315.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,725.39 : 4,088.16 = 876.69 : x
  2. Step 2: Convert to fraction form
    2,725.39/4,088.16 = 876.69/x
  3. Step 3: Cross multiply
    2,725.39x = 4,088.16 × 876.69
  4. Step 4: Simplify right side
    2,725.39x = 3,584,048.99
  5. Step 5: Solve for x
    x = 3,584,048.99/2,725.39
  6. Step 6: Final answer
    x = 1,315.06

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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.