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Finding the Fourth Proportional to 2,047.07, 2,826.12 and 1,349.66

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Solution

The fourth proportional to 2,047.07, 2,826.12 and 1,349.66 is: 1,863.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.07 : 2,826.12 = 1,349.66 : x
  2. Step 2: Convert to fraction form
    2,047.07/2,826.12 = 1,349.66/x
  3. Step 3: Cross multiply
    2,047.07x = 2,826.12 × 1,349.66
  4. Step 4: Simplify right side
    2,047.07x = 3,814,286.99
  5. Step 5: Solve for x
    x = 3,814,286.99/2,047.07
  6. Step 6: Final answer
    x = 1,863.30

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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.