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Finding the Fourth Proportional to 2,875.60, 3,968.34 and 1,616.72

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Solution

The fourth proportional to 2,875.60, 3,968.34 and 1,616.72 is: 2,231.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,875.60 : 3,968.34 = 1,616.72 : x
  2. Step 2: Convert to fraction form
    2,875.60/3,968.34 = 1,616.72/x
  3. Step 3: Cross multiply
    2,875.60x = 3,968.34 × 1,616.72
  4. Step 4: Simplify right side
    2,875.60x = 6,415,694.64
  5. Step 5: Solve for x
    x = 6,415,694.64/2,875.60
  6. Step 6: Final answer
    x = 2,231.08

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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.