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Finding the Fourth Proportional to 3,158.84, 4,738.28 and 818.69

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Solution

The fourth proportional to 3,158.84, 4,738.28 and 818.69 is: 1,228.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,158.84 : 4,738.28 = 818.69 : x
  2. Step 2: Convert to fraction form
    3,158.84/4,738.28 = 818.69/x
  3. Step 3: Cross multiply
    3,158.84x = 4,738.28 × 818.69
  4. Step 4: Simplify right side
    3,158.84x = 3,879,159.27
  5. Step 5: Solve for x
    x = 3,879,159.27/3,158.84
  6. Step 6: Final answer
    x = 1,228.03

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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.