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Finding the Fourth Proportional to 2,332.22, 3,496.26 and 870.38

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Solution

The fourth proportional to 2,332.22, 3,496.26 and 870.38 is: 1,304.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,332.22 : 3,496.26 = 870.38 : x
  2. Step 2: Convert to fraction form
    2,332.22/3,496.26 = 870.38/x
  3. Step 3: Cross multiply
    2,332.22x = 3,496.26 × 870.38
  4. Step 4: Simplify right side
    2,332.22x = 3,043,074.78
  5. Step 5: Solve for x
    x = 3,043,074.78/2,332.22
  6. Step 6: Final answer
    x = 1,304.80

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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.