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Finding the Fourth Proportional to 2,278.91, 3,417.82 and 817.67

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Solution

The fourth proportional to 2,278.91, 3,417.82 and 817.67 is: 1,226.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,278.91 : 3,417.82 = 817.67 : x
  2. Step 2: Convert to fraction form
    2,278.91/3,417.82 = 817.67/x
  3. Step 3: Cross multiply
    2,278.91x = 3,417.82 × 817.67
  4. Step 4: Simplify right side
    2,278.91x = 2,794,648.88
  5. Step 5: Solve for x
    x = 2,794,648.88/2,278.91
  6. Step 6: Final answer
    x = 1,226.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.