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Finding the Fourth Proportional to 2,875.44, 3,968.01 and 1,616.46

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Solution

The fourth proportional to 2,875.44, 3,968.01 and 1,616.46 is: 2,230.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,875.44 : 3,968.01 = 1,616.46 : x
  2. Step 2: Convert to fraction form
    2,875.44/3,968.01 = 1,616.46/x
  3. Step 3: Cross multiply
    2,875.44x = 3,968.01 × 1,616.46
  4. Step 4: Simplify right side
    2,875.44x = 6,414,129.44
  5. Step 5: Solve for x
    x = 6,414,129.44/2,875.44
  6. Step 6: Final answer
    x = 2,230.66

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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.