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Finding the Fourth Proportional to 2,201.63, 3,038.18 and 1,206.88

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Solution

The fourth proportional to 2,201.63, 3,038.18 and 1,206.88 is: 1,665.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,201.63 : 3,038.18 = 1,206.88 : x
  2. Step 2: Convert to fraction form
    2,201.63/3,038.18 = 1,206.88/x
  3. Step 3: Cross multiply
    2,201.63x = 3,038.18 × 1,206.88
  4. Step 4: Simplify right side
    2,201.63x = 3,666,705.05
  5. Step 5: Solve for x
    x = 3,666,705.05/2,201.63
  6. Step 6: Final answer
    x = 1,665.45

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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.