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Finding the Fourth Proportional to 2,354.91, 3,249.92 and 1,306.97

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Solution

The fourth proportional to 2,354.91, 3,249.92 and 1,306.97 is: 1,803.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.91 : 3,249.92 = 1,306.97 : x
  2. Step 2: Convert to fraction form
    2,354.91/3,249.92 = 1,306.97/x
  3. Step 3: Cross multiply
    2,354.91x = 3,249.92 × 1,306.97
  4. Step 4: Simplify right side
    2,354.91x = 4,247,547.15
  5. Step 5: Solve for x
    x = 4,247,547.15/2,354.91
  6. Step 6: Final answer
    x = 1,803.70

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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.