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Finding the Fourth Proportional to 1,700.20, 2,348.55 and 1,369.90

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Solution

The fourth proportional to 1,700.20, 2,348.55 and 1,369.90 is: 1,892.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,700.20 : 2,348.55 = 1,369.90 : x
  2. Step 2: Convert to fraction form
    1,700.20/2,348.55 = 1,369.90/x
  3. Step 3: Cross multiply
    1,700.20x = 2,348.55 × 1,369.90
  4. Step 4: Simplify right side
    1,700.20x = 3,217,278.65
  5. Step 5: Solve for x
    x = 3,217,278.65/1,700.20
  6. Step 6: Final answer
    x = 1,892.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.