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Finding the Fourth Proportional to 3,180.15, 4,770.70 and 1,700.15

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Solution

The fourth proportional to 3,180.15, 4,770.70 and 1,700.15 is: 2,550.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,180.15 : 4,770.70 = 1,700.15 : x
  2. Step 2: Convert to fraction form
    3,180.15/4,770.70 = 1,700.15/x
  3. Step 3: Cross multiply
    3,180.15x = 4,770.70 × 1,700.15
  4. Step 4: Simplify right side
    3,180.15x = 8,110,877.50
  5. Step 5: Solve for x
    x = 8,110,877.50/3,180.15
  6. Step 6: Final answer
    x = 2,550.47

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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.