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Finding the Fourth Proportional to 2,048.40, 3,072.24 and 731.94

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Solution

The fourth proportional to 2,048.40, 3,072.24 and 731.94 is: 1,097.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.40 : 3,072.24 = 731.94 : x
  2. Step 2: Convert to fraction form
    2,048.40/3,072.24 = 731.94/x
  3. Step 3: Cross multiply
    2,048.40x = 3,072.24 × 731.94
  4. Step 4: Simplify right side
    2,048.40x = 2,248,695.35
  5. Step 5: Solve for x
    x = 2,248,695.35/2,048.40
  6. Step 6: Final answer
    x = 1,097.78

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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.