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Finding the Fourth Proportional to 2,332.54, 3,496.38 and 871.06

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Solution

The fourth proportional to 2,332.54, 3,496.38 and 871.06 is: 1,305.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,332.54 : 3,496.38 = 871.06 : x
  2. Step 2: Convert to fraction form
    2,332.54/3,496.38 = 871.06/x
  3. Step 3: Cross multiply
    2,332.54x = 3,496.38 × 871.06
  4. Step 4: Simplify right side
    2,332.54x = 3,045,556.76
  5. Step 5: Solve for x
    x = 3,045,556.76/2,332.54
  6. Step 6: Final answer
    x = 1,305.68

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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.