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Finding the Fourth Proportional to 2,034.39, 2,806.11 and 1,404.93

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Solution

The fourth proportional to 2,034.39, 2,806.11 and 1,404.93 is: 1,937.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.39 : 2,806.11 = 1,404.93 : x
  2. Step 2: Convert to fraction form
    2,034.39/2,806.11 = 1,404.93/x
  3. Step 3: Cross multiply
    2,034.39x = 2,806.11 × 1,404.93
  4. Step 4: Simplify right side
    2,034.39x = 3,942,388.12
  5. Step 5: Solve for x
    x = 3,942,388.12/2,034.39
  6. Step 6: Final answer
    x = 1,937.87

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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.