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Finding the Fourth Proportional to 2,707.65, 3,734.44 and 1,763.74

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Solution

The fourth proportional to 2,707.65, 3,734.44 and 1,763.74 is: 2,432.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,707.65 : 3,734.44 = 1,763.74 : x
  2. Step 2: Convert to fraction form
    2,707.65/3,734.44 = 1,763.74/x
  3. Step 3: Cross multiply
    2,707.65x = 3,734.44 × 1,763.74
  4. Step 4: Simplify right side
    2,707.65x = 6,586,581.46
  5. Step 5: Solve for x
    x = 6,586,581.46/2,707.65
  6. Step 6: Final answer
    x = 2,432.58

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Why These Related Problems?

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