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Finding the Fourth Proportional to 2,335.70, 3,223.14 and 1,340.92

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Solution

The fourth proportional to 2,335.70, 3,223.14 and 1,340.92 is: 1,850.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,335.70 : 3,223.14 = 1,340.92 : x
  2. Step 2: Convert to fraction form
    2,335.70/3,223.14 = 1,340.92/x
  3. Step 3: Cross multiply
    2,335.70x = 3,223.14 × 1,340.92
  4. Step 4: Simplify right side
    2,335.70x = 4,321,956.77
  5. Step 5: Solve for x
    x = 4,321,956.77/2,335.70
  6. Step 6: Final answer
    x = 1,850.39

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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.