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Finding the Fourth Proportional to 2,377.78, 3,566.69 and 734.32

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Solution

The fourth proportional to 2,377.78, 3,566.69 and 734.32 is: 1,101.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,377.78 : 3,566.69 = 734.32 : x
  2. Step 2: Convert to fraction form
    2,377.78/3,566.69 = 734.32/x
  3. Step 3: Cross multiply
    2,377.78x = 3,566.69 × 734.32
  4. Step 4: Simplify right side
    2,377.78x = 2,619,091.80
  5. Step 5: Solve for x
    x = 2,619,091.80/2,377.78
  6. Step 6: Final answer
    x = 1,101.49

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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.