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Finding the Fourth Proportional to 3,312.70, 4,960.14 and 1,749.46

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Solution

The fourth proportional to 3,312.70, 4,960.14 and 1,749.46 is: 2,619.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,312.70 : 4,960.14 = 1,749.46 : x
  2. Step 2: Convert to fraction form
    3,312.70/4,960.14 = 1,749.46/x
  3. Step 3: Cross multiply
    3,312.70x = 4,960.14 × 1,749.46
  4. Step 4: Simplify right side
    3,312.70x = 8,677,566.52
  5. Step 5: Solve for x
    x = 8,677,566.52/3,312.70
  6. Step 6: Final answer
    x = 2,619.48

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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.