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Finding the Fourth Proportional to 2,332.09, 3,498.74 and 871.25

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Solution

The fourth proportional to 2,332.09, 3,498.74 and 871.25 is: 1,307.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,332.09 : 3,498.74 = 871.25 : x
  2. Step 2: Convert to fraction form
    2,332.09/3,498.74 = 871.25/x
  3. Step 3: Cross multiply
    2,332.09x = 3,498.74 × 871.25
  4. Step 4: Simplify right side
    2,332.09x = 3,048,272.87
  5. Step 5: Solve for x
    x = 3,048,272.87/2,332.09
  6. Step 6: Final answer
    x = 1,307.10

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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.