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Finding the Fourth Proportional to 2,731.96, 4,097.55 and 882.84

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Solution

The fourth proportional to 2,731.96, 4,097.55 and 882.84 is: 1,324.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,731.96 : 4,097.55 = 882.84 : x
  2. Step 2: Convert to fraction form
    2,731.96/4,097.55 = 882.84/x
  3. Step 3: Cross multiply
    2,731.96x = 4,097.55 × 882.84
  4. Step 4: Simplify right side
    2,731.96x = 3,617,481.04
  5. Step 5: Solve for x
    x = 3,617,481.04/2,731.96
  6. Step 6: Final answer
    x = 1,324.13

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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.