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Finding the Fourth Proportional to 1,697.43, 2,529.48 and 1,641.69

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Solution

The fourth proportional to 1,697.43, 2,529.48 and 1,641.69 is: 2,446.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,697.43 : 2,529.48 = 1,641.69 : x
  2. Step 2: Convert to fraction form
    1,697.43/2,529.48 = 1,641.69/x
  3. Step 3: Cross multiply
    1,697.43x = 2,529.48 × 1,641.69
  4. Step 4: Simplify right side
    1,697.43x = 4,152,626.06
  5. Step 5: Solve for x
    x = 4,152,626.06/1,697.43
  6. Step 6: Final answer
    x = 2,446.42

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.