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Finding the Fourth Proportional to 3,170.19, 4,753.63 and 1,690.20

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Solution

The fourth proportional to 3,170.19, 4,753.63 and 1,690.20 is: 2,534.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,170.19 : 4,753.63 = 1,690.20 : x
  2. Step 2: Convert to fraction form
    3,170.19/4,753.63 = 1,690.20/x
  3. Step 3: Cross multiply
    3,170.19x = 4,753.63 × 1,690.20
  4. Step 4: Simplify right side
    3,170.19x = 8,034,585.43
  5. Step 5: Solve for x
    x = 8,034,585.43/3,170.19
  6. Step 6: Final answer
    x = 2,534.42

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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.