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Finding the Fourth Proportional to 2,678.31, 4,016.97 and 829.08

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Solution

The fourth proportional to 2,678.31, 4,016.97 and 829.08 is: 1,243.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678.31 : 4,016.97 = 829.08 : x
  2. Step 2: Convert to fraction form
    2,678.31/4,016.97 = 829.08/x
  3. Step 3: Cross multiply
    2,678.31x = 4,016.97 × 829.08
  4. Step 4: Simplify right side
    2,678.31x = 3,330,389.49
  5. Step 5: Solve for x
    x = 3,330,389.49/2,678.31
  6. Step 6: Final answer
    x = 1,243.47

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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.