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Finding the Fourth Proportional to 3,073.66, 4,609.82 and 882.34

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Solution

The fourth proportional to 3,073.66, 4,609.82 and 882.34 is: 1,323.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,073.66 : 4,609.82 = 882.34 : x
  2. Step 2: Convert to fraction form
    3,073.66/4,609.82 = 882.34/x
  3. Step 3: Cross multiply
    3,073.66x = 4,609.82 × 882.34
  4. Step 4: Simplify right side
    3,073.66x = 4,067,428.58
  5. Step 5: Solve for x
    x = 4,067,428.58/3,073.66
  6. Step 6: Final answer
    x = 1,323.32

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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.