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Finding the Fourth Proportional to 2,426.50, 3,639.78 and 887.50

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Solution

The fourth proportional to 2,426.50, 3,639.78 and 887.50 is: 1,331.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,426.50 : 3,639.78 = 887.50 : x
  2. Step 2: Convert to fraction form
    2,426.50/3,639.78 = 887.50/x
  3. Step 3: Cross multiply
    2,426.50x = 3,639.78 × 887.50
  4. Step 4: Simplify right side
    2,426.50x = 3,230,304.75
  5. Step 5: Solve for x
    x = 3,230,304.75/2,426.50
  6. Step 6: Final answer
    x = 1,331.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.