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Finding the Fourth Proportional to 2,530.86, 3,793.70 and 970.44

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Solution

The fourth proportional to 2,530.86, 3,793.70 and 970.44 is: 1,454.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,530.86 : 3,793.70 = 970.44 : x
  2. Step 2: Convert to fraction form
    2,530.86/3,793.70 = 970.44/x
  3. Step 3: Cross multiply
    2,530.86x = 3,793.70 × 970.44
  4. Step 4: Simplify right side
    2,530.86x = 3,681,553.38
  5. Step 5: Solve for x
    x = 3,681,553.38/2,530.86
  6. Step 6: Final answer
    x = 1,454.66

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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.