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Finding the Fourth Proportional to 1,749.96, 2,620.86 and 1,230.48

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Solution

The fourth proportional to 1,749.96, 2,620.86 and 1,230.48 is: 1,842.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,749.96 : 2,620.86 = 1,230.48 : x
  2. Step 2: Convert to fraction form
    1,749.96/2,620.86 = 1,230.48/x
  3. Step 3: Cross multiply
    1,749.96x = 2,620.86 × 1,230.48
  4. Step 4: Simplify right side
    1,749.96x = 3,224,915.81
  5. Step 5: Solve for x
    x = 3,224,915.81/1,749.96
  6. Step 6: Final answer
    x = 1,842.85

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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.