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Finding the Fourth Proportional to 2,276.29, 3,414.59 and 889.16

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Solution

The fourth proportional to 2,276.29, 3,414.59 and 889.16 is: 1,333.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,276.29 : 3,414.59 = 889.16 : x
  2. Step 2: Convert to fraction form
    2,276.29/3,414.59 = 889.16/x
  3. Step 3: Cross multiply
    2,276.29x = 3,414.59 × 889.16
  4. Step 4: Simplify right side
    2,276.29x = 3,036,127.60
  5. Step 5: Solve for x
    x = 3,036,127.60/2,276.29
  6. Step 6: Final answer
    x = 1,333.81

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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.