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Finding the Fourth Proportional to 2,866.97, 3,956.37 and 2,423.50

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Solution

The fourth proportional to 2,866.97, 3,956.37 and 2,423.50 is: 3,344.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,866.97 : 3,956.37 = 2,423.50 : x
  2. Step 2: Convert to fraction form
    2,866.97/3,956.37 = 2,423.50/x
  3. Step 3: Cross multiply
    2,866.97x = 3,956.37 × 2,423.50
  4. Step 4: Simplify right side
    2,866.97x = 9,588,262.70
  5. Step 5: Solve for x
    x = 9,588,262.70/2,866.97
  6. Step 6: Final answer
    x = 3,344.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.