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Finding the Fourth Proportional to 1,759.50, 2,639.52 and 1,276.20

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Solution

The fourth proportional to 1,759.50, 2,639.52 and 1,276.20 is: 1,914.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,759.50 : 2,639.52 = 1,276.20 : x
  2. Step 2: Convert to fraction form
    1,759.50/2,639.52 = 1,276.20/x
  3. Step 3: Cross multiply
    1,759.50x = 2,639.52 × 1,276.20
  4. Step 4: Simplify right side
    1,759.50x = 3,368,555.42
  5. Step 5: Solve for x
    x = 3,368,555.42/1,759.50
  6. Step 6: Final answer
    x = 1,914.50

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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.