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Finding the Fourth Proportional to 4,691.74, 7,039.50 and 1,770.88

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Solution

The fourth proportional to 4,691.74, 7,039.50 and 1,770.88 is: 2,657.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,691.74 : 7,039.50 = 1,770.88 : x
  2. Step 2: Convert to fraction form
    4,691.74/7,039.50 = 1,770.88/x
  3. Step 3: Cross multiply
    4,691.74x = 7,039.50 × 1,770.88
  4. Step 4: Simplify right side
    4,691.74x = 12,466,109.76
  5. Step 5: Solve for x
    x = 12,466,109.76/4,691.74
  6. Step 6: Final answer
    x = 2,657.03

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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.