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Finding the Fourth Proportional to 2,238.49, 3,358.14 and 778.06

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Solution

The fourth proportional to 2,238.49, 3,358.14 and 778.06 is: 1,167.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,238.49 : 3,358.14 = 778.06 : x
  2. Step 2: Convert to fraction form
    2,238.49/3,358.14 = 778.06/x
  3. Step 3: Cross multiply
    2,238.49x = 3,358.14 × 778.06
  4. Step 4: Simplify right side
    2,238.49x = 2,612,834.41
  5. Step 5: Solve for x
    x = 2,612,834.41/2,238.49
  6. Step 6: Final answer
    x = 1,167.23

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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.