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Finding the Fourth Proportional to 2,922.93, 4,384.35 and 731.68

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Solution

The fourth proportional to 2,922.93, 4,384.35 and 731.68 is: 1,097.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,922.93 : 4,384.35 = 731.68 : x
  2. Step 2: Convert to fraction form
    2,922.93/4,384.35 = 731.68/x
  3. Step 3: Cross multiply
    2,922.93x = 4,384.35 × 731.68
  4. Step 4: Simplify right side
    2,922.93x = 3,207,930.25
  5. Step 5: Solve for x
    x = 3,207,930.25/2,922.93
  6. Step 6: Final answer
    x = 1,097.50

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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.