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Finding the Fourth Proportional to 2,875.83, 3,968.62 and 1,616.94

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Solution

The fourth proportional to 2,875.83, 3,968.62 and 1,616.94 is: 2,231.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,875.83 : 3,968.62 = 1,616.94 : x
  2. Step 2: Convert to fraction form
    2,875.83/3,968.62 = 1,616.94/x
  3. Step 3: Cross multiply
    2,875.83x = 3,968.62 × 1,616.94
  4. Step 4: Simplify right side
    2,875.83x = 6,417,020.42
  5. Step 5: Solve for x
    x = 6,417,020.42/2,875.83
  6. Step 6: Final answer
    x = 2,231.36

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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.