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Finding the Fourth Proportional to 2,201.96, 3,038.72 and 1,207.28

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Solution

The fourth proportional to 2,201.96, 3,038.72 and 1,207.28 is: 1,666.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,201.96 : 3,038.72 = 1,207.28 : x
  2. Step 2: Convert to fraction form
    2,201.96/3,038.72 = 1,207.28/x
  3. Step 3: Cross multiply
    2,201.96x = 3,038.72 × 1,207.28
  4. Step 4: Simplify right side
    2,201.96x = 3,668,587.44
  5. Step 5: Solve for x
    x = 3,668,587.44/2,201.96
  6. Step 6: Final answer
    x = 1,666.05

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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.