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Finding the Fourth Proportional to 3,186.60, 4,780.11 and 846.57

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Solution

The fourth proportional to 3,186.60, 4,780.11 and 846.57 is: 1,269.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,186.60 : 4,780.11 = 846.57 : x
  2. Step 2: Convert to fraction form
    3,186.60/4,780.11 = 846.57/x
  3. Step 3: Cross multiply
    3,186.60x = 4,780.11 × 846.57
  4. Step 4: Simplify right side
    3,186.60x = 4,046,697.72
  5. Step 5: Solve for x
    x = 4,046,697.72/3,186.60
  6. Step 6: Final answer
    x = 1,269.91

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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.