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Finding the Fourth Proportional to 2,201.93, 3,038.74 and 1,207.21

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Solution

The fourth proportional to 2,201.93, 3,038.74 and 1,207.21 is: 1,665.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,201.93 : 3,038.74 = 1,207.21 : x
  2. Step 2: Convert to fraction form
    2,201.93/3,038.74 = 1,207.21/x
  3. Step 3: Cross multiply
    2,201.93x = 3,038.74 × 1,207.21
  4. Step 4: Simplify right side
    2,201.93x = 3,668,397.32
  5. Step 5: Solve for x
    x = 3,668,397.32/2,201.93
  6. Step 6: Final answer
    x = 1,665.99

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