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Finding the Fourth Proportional to 2,297.04, 3,443.61 and 911.35

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Solution

The fourth proportional to 2,297.04, 3,443.61 and 911.35 is: 1,366.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.04 : 3,443.61 = 911.35 : x
  2. Step 2: Convert to fraction form
    2,297.04/3,443.61 = 911.35/x
  3. Step 3: Cross multiply
    2,297.04x = 3,443.61 × 911.35
  4. Step 4: Simplify right side
    2,297.04x = 3,138,333.97
  5. Step 5: Solve for x
    x = 3,138,333.97/2,297.04
  6. Step 6: Final answer
    x = 1,366.25

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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.