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Finding the Fourth Proportional to 2,201.90, 3,038.52 and 1,207.22

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Solution

The fourth proportional to 2,201.90, 3,038.52 and 1,207.22 is: 1,665.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,201.90 : 3,038.52 = 1,207.22 : x
  2. Step 2: Convert to fraction form
    2,201.90/3,038.52 = 1,207.22/x
  3. Step 3: Cross multiply
    2,201.90x = 3,038.52 × 1,207.22
  4. Step 4: Simplify right side
    2,201.90x = 3,668,162.11
  5. Step 5: Solve for x
    x = 3,668,162.11/2,201.90
  6. Step 6: Final answer
    x = 1,665.91

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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.