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Finding the Fourth Proportional to 2,201.40, 3,038 and 1,206.74

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Solution

The fourth proportional to 2,201.40, 3,038 and 1,206.74 is: 1,665.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,201.40 : 3,038 = 1,206.74 : x
  2. Step 2: Convert to fraction form
    2,201.40/3,038 = 1,206.74/x
  3. Step 3: Cross multiply
    2,201.40x = 3,038 × 1,206.74
  4. Step 4: Simplify right side
    2,201.40x = 3,666,076.12
  5. Step 5: Solve for x
    x = 3,666,076.12/2,201.40
  6. Step 6: Final answer
    x = 1,665.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.