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Finding the Fourth Proportional to 2,357.67, 3,519.22 and 2,080.92

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Solution

The fourth proportional to 2,357.67, 3,519.22 and 2,080.92 is: 3,106.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.67 : 3,519.22 = 2,080.92 : x
  2. Step 2: Convert to fraction form
    2,357.67/3,519.22 = 2,080.92/x
  3. Step 3: Cross multiply
    2,357.67x = 3,519.22 × 2,080.92
  4. Step 4: Simplify right side
    2,357.67x = 7,323,210.08
  5. Step 5: Solve for x
    x = 7,323,210.08/2,357.67
  6. Step 6: Final answer
    x = 3,106.12

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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.