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Finding the Fourth Proportional to 2,284.88, 3,427.31 and 745.88

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Solution

The fourth proportional to 2,284.88, 3,427.31 and 745.88 is: 1,118.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284.88 : 3,427.31 = 745.88 : x
  2. Step 2: Convert to fraction form
    2,284.88/3,427.31 = 745.88/x
  3. Step 3: Cross multiply
    2,284.88x = 3,427.31 × 745.88
  4. Step 4: Simplify right side
    2,284.88x = 2,556,346.71
  5. Step 5: Solve for x
    x = 2,556,346.71/2,284.88
  6. Step 6: Final answer
    x = 1,118.81

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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.