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Finding the Fourth Proportional to 3,584.68, 4,946.74 and 2,012.78

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Solution

The fourth proportional to 3,584.68, 4,946.74 and 2,012.78 is: 2,777.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,584.68 : 4,946.74 = 2,012.78 : x
  2. Step 2: Convert to fraction form
    3,584.68/4,946.74 = 2,012.78/x
  3. Step 3: Cross multiply
    3,584.68x = 4,946.74 × 2,012.78
  4. Step 4: Simplify right side
    3,584.68x = 9,956,706.67
  5. Step 5: Solve for x
    x = 9,956,706.67/3,584.68
  6. Step 6: Final answer
    x = 2,777.57

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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.