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Finding the Fourth Proportional to 3,149.82, 4,746.06 and 2,614.01

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Solution

The fourth proportional to 3,149.82, 4,746.06 and 2,614.01 is: 3,938.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,149.82 : 4,746.06 = 2,614.01 : x
  2. Step 2: Convert to fraction form
    3,149.82/4,746.06 = 2,614.01/x
  3. Step 3: Cross multiply
    3,149.82x = 4,746.06 × 2,614.01
  4. Step 4: Simplify right side
    3,149.82x = 12,406,224.57
  5. Step 5: Solve for x
    x = 12,406,224.57/3,149.82
  6. Step 6: Final answer
    x = 3,938.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.