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Finding the Fourth Proportional to 3,170.20, 4,752.20 and 1,321.84

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Solution

The fourth proportional to 3,170.20, 4,752.20 and 1,321.84 is: 1,981.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,170.20 : 4,752.20 = 1,321.84 : x
  2. Step 2: Convert to fraction form
    3,170.20/4,752.20 = 1,321.84/x
  3. Step 3: Cross multiply
    3,170.20x = 4,752.20 × 1,321.84
  4. Step 4: Simplify right side
    3,170.20x = 6,281,656.74
  5. Step 5: Solve for x
    x = 6,281,656.74/3,170.20
  6. Step 6: Final answer
    x = 1,981.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.