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Finding the Fourth Proportional to 2,875.98, 3,968.52 and 1,616.78

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Solution

The fourth proportional to 2,875.98, 3,968.52 and 1,616.78 is: 2,230.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,875.98 : 3,968.52 = 1,616.78 : x
  2. Step 2: Convert to fraction form
    2,875.98/3,968.52 = 1,616.78/x
  3. Step 3: Cross multiply
    2,875.98x = 3,968.52 × 1,616.78
  4. Step 4: Simplify right side
    2,875.98x = 6,416,223.77
  5. Step 5: Solve for x
    x = 6,416,223.77/2,875.98
  6. Step 6: Final answer
    x = 2,230.97

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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.