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Finding the Fourth Proportional to 2,616.42, 3,610.80 and 1,437.60

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Solution

The fourth proportional to 2,616.42, 3,610.80 and 1,437.60 is: 1,983.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,616.42 : 3,610.80 = 1,437.60 : x
  2. Step 2: Convert to fraction form
    2,616.42/3,610.80 = 1,437.60/x
  3. Step 3: Cross multiply
    2,616.42x = 3,610.80 × 1,437.60
  4. Step 4: Simplify right side
    2,616.42x = 5,190,886.08
  5. Step 5: Solve for x
    x = 5,190,886.08/2,616.42
  6. Step 6: Final answer
    x = 1,983.97

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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.