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Finding the Fourth Proportional to 2,357.92, 3,519.59 and 2,081.17

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Solution

The fourth proportional to 2,357.92, 3,519.59 and 2,081.17 is: 3,106.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.92 : 3,519.59 = 2,081.17 : x
  2. Step 2: Convert to fraction form
    2,357.92/3,519.59 = 2,081.17/x
  3. Step 3: Cross multiply
    2,357.92x = 3,519.59 × 2,081.17
  4. Step 4: Simplify right side
    2,357.92x = 7,324,865.12
  5. Step 5: Solve for x
    x = 7,324,865.12/2,357.92
  6. Step 6: Final answer
    x = 3,106.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.