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Finding the Fourth Proportional to 2,122.40, 3,138.56 and 2,122.40

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Solution

The fourth proportional to 2,122.40, 3,138.56 and 2,122.40 is: 3,138.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.40 : 3,138.56 = 2,122.40 : x
  2. Step 2: Convert to fraction form
    2,122.40/3,138.56 = 2,122.40/x
  3. Step 3: Cross multiply
    2,122.40x = 3,138.56 × 2,122.40
  4. Step 4: Simplify right side
    2,122.40x = 6,661,279.74
  5. Step 5: Solve for x
    x = 6,661,279.74/2,122.40
  6. Step 6: Final answer
    x = 3,138.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.