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Finding the Fourth Proportional to 2,225.80, 3,071.88 and 1,231.39

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Solution

The fourth proportional to 2,225.80, 3,071.88 and 1,231.39 is: 1,699.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,225.80 : 3,071.88 = 1,231.39 : x
  2. Step 2: Convert to fraction form
    2,225.80/3,071.88 = 1,231.39/x
  3. Step 3: Cross multiply
    2,225.80x = 3,071.88 × 1,231.39
  4. Step 4: Simplify right side
    2,225.80x = 3,782,682.31
  5. Step 5: Solve for x
    x = 3,782,682.31/2,225.80
  6. Step 6: Final answer
    x = 1,699.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.