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Finding the Fourth Proportional to 1,616.04, 2,230.74 and 1,091.88

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Solution

The fourth proportional to 1,616.04, 2,230.74 and 1,091.88 is: 1,507.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,616.04 : 2,230.74 = 1,091.88 : x
  2. Step 2: Convert to fraction form
    1,616.04/2,230.74 = 1,091.88/x
  3. Step 3: Cross multiply
    1,616.04x = 2,230.74 × 1,091.88
  4. Step 4: Simplify right side
    1,616.04x = 2,435,700.39
  5. Step 5: Solve for x
    x = 2,435,700.39/1,616.04
  6. Step 6: Final answer
    x = 1,507.20

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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.