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Finding the Fourth Proportional to 2,100.47, 3,146.38 and 1,232.69

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Solution

The fourth proportional to 2,100.47, 3,146.38 and 1,232.69 is: 1,846.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,100.47 : 3,146.38 = 1,232.69 : x
  2. Step 2: Convert to fraction form
    2,100.47/3,146.38 = 1,232.69/x
  3. Step 3: Cross multiply
    2,100.47x = 3,146.38 × 1,232.69
  4. Step 4: Simplify right side
    2,100.47x = 3,878,503.30
  5. Step 5: Solve for x
    x = 3,878,503.30/2,100.47
  6. Step 6: Final answer
    x = 1,846.50

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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.