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Finding the Fourth Proportional to 3,312.70, 4,960.17 and 1,749.47

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Solution

The fourth proportional to 3,312.70, 4,960.17 and 1,749.47 is: 2,619.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,312.70 : 4,960.17 = 1,749.47 : x
  2. Step 2: Convert to fraction form
    3,312.70/4,960.17 = 1,749.47/x
  3. Step 3: Cross multiply
    3,312.70x = 4,960.17 × 1,749.47
  4. Step 4: Simplify right side
    3,312.70x = 8,677,643.81
  5. Step 5: Solve for x
    x = 8,677,643.81/3,312.70
  6. Step 6: Final answer
    x = 2,619.51

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1.5x scale

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.