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Finding the Fourth Proportional to 2,226.54, 3,073.62 and 1,600.21

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Solution

The fourth proportional to 2,226.54, 3,073.62 and 1,600.21 is: 2,209.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,226.54 : 3,073.62 = 1,600.21 : x
  2. Step 2: Convert to fraction form
    2,226.54/3,073.62 = 1,600.21/x
  3. Step 3: Cross multiply
    2,226.54x = 3,073.62 × 1,600.21
  4. Step 4: Simplify right side
    2,226.54x = 4,918,437.46
  5. Step 5: Solve for x
    x = 4,918,437.46/2,226.54
  6. Step 6: Final answer
    x = 2,209.00

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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.