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Finding the Fourth Proportional to 2,107.92, 2,902.32 and 1,733.70

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Solution

The fourth proportional to 2,107.92, 2,902.32 and 1,733.70 is: 2,387.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.92 : 2,902.32 = 1,733.70 : x
  2. Step 2: Convert to fraction form
    2,107.92/2,902.32 = 1,733.70/x
  3. Step 3: Cross multiply
    2,107.92x = 2,902.32 × 1,733.70
  4. Step 4: Simplify right side
    2,107.92x = 5,031,752.18
  5. Step 5: Solve for x
    x = 5,031,752.18/2,107.92
  6. Step 6: Final answer
    x = 2,387.07

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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.