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Finding the Fourth Proportional to 1,616.72, 2,230.00 and 1,111.88

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Solution

The fourth proportional to 1,616.72, 2,230.00 and 1,111.88 is: 1,533.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,616.72 : 2,230.00 = 1,111.88 : x
  2. Step 2: Convert to fraction form
    1,616.72/2,230.00 = 1,111.88/x
  3. Step 3: Cross multiply
    1,616.72x = 2,230.00 × 1,111.88
  4. Step 4: Simplify right side
    1,616.72x = 2,479,486.84
  5. Step 5: Solve for x
    x = 2,479,486.84/1,616.72
  6. Step 6: Final answer
    x = 1,533.66

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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.