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Finding the Fourth Proportional to 2,141.40, 3,209.97 and 753.87

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Solution

The fourth proportional to 2,141.40, 3,209.97 and 753.87 is: 1,130.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141.40 : 3,209.97 = 753.87 : x
  2. Step 2: Convert to fraction form
    2,141.40/3,209.97 = 753.87/x
  3. Step 3: Cross multiply
    2,141.40x = 3,209.97 × 753.87
  4. Step 4: Simplify right side
    2,141.40x = 2,419,900.08
  5. Step 5: Solve for x
    x = 2,419,900.08/2,141.40
  6. Step 6: Final answer
    x = 1,130.06

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1.5x scale

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.