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Finding the Fourth Proportional to 1,754.68, 2,626.86 and 1,639.30

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Solution

The fourth proportional to 1,754.68, 2,626.86 and 1,639.30 is: 2,454.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,754.68 : 2,626.86 = 1,639.30 : x
  2. Step 2: Convert to fraction form
    1,754.68/2,626.86 = 1,639.30/x
  3. Step 3: Cross multiply
    1,754.68x = 2,626.86 × 1,639.30
  4. Step 4: Simplify right side
    1,754.68x = 4,306,211.60
  5. Step 5: Solve for x
    x = 4,306,211.60/1,754.68
  6. Step 6: Final answer
    x = 2,454.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.