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Finding the Fourth Proportional to 1,751.76, 2,626.20 and 1,204.98

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Solution

The fourth proportional to 1,751.76, 2,626.20 and 1,204.98 is: 1,806.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,751.76 : 2,626.20 = 1,204.98 : x
  2. Step 2: Convert to fraction form
    1,751.76/2,626.20 = 1,204.98/x
  3. Step 3: Cross multiply
    1,751.76x = 2,626.20 × 1,204.98
  4. Step 4: Simplify right side
    1,751.76x = 3,164,518.48
  5. Step 5: Solve for x
    x = 3,164,518.48/1,751.76
  6. Step 6: Final answer
    x = 1,806.48

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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.