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Finding the Fourth Proportional to 2,606.49, 3,906.50 and 1,146.33

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Solution

The fourth proportional to 2,606.49, 3,906.50 and 1,146.33 is: 1,718.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,606.49 : 3,906.50 = 1,146.33 : x
  2. Step 2: Convert to fraction form
    2,606.49/3,906.50 = 1,146.33/x
  3. Step 3: Cross multiply
    2,606.49x = 3,906.50 × 1,146.33
  4. Step 4: Simplify right side
    2,606.49x = 4,478,132.41
  5. Step 5: Solve for x
    x = 4,478,132.41/2,606.49
  6. Step 6: Final answer
    x = 1,718.07

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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.