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Finding the Fourth Proportional to 2,378.80, 3,567.52 and 734.48

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Solution

The fourth proportional to 2,378.80, 3,567.52 and 734.48 is: 1,101.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378.80 : 3,567.52 = 734.48 : x
  2. Step 2: Convert to fraction form
    2,378.80/3,567.52 = 734.48/x
  3. Step 3: Cross multiply
    2,378.80x = 3,567.52 × 734.48
  4. Step 4: Simplify right side
    2,378.80x = 2,620,272.09
  5. Step 5: Solve for x
    x = 2,620,272.09/2,378.80
  6. Step 6: Final answer
    x = 1,101.51

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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.