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Finding the Fourth Proportional to 2,285.08, 3,428.34 and 987.16

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Solution

The fourth proportional to 2,285.08, 3,428.34 and 987.16 is: 1,481.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,285.08 : 3,428.34 = 987.16 : x
  2. Step 2: Convert to fraction form
    2,285.08/3,428.34 = 987.16/x
  3. Step 3: Cross multiply
    2,285.08x = 3,428.34 × 987.16
  4. Step 4: Simplify right side
    2,285.08x = 3,384,320.11
  5. Step 5: Solve for x
    x = 3,384,320.11/2,285.08
  6. Step 6: Final answer
    x = 1,481.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.