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Finding the Fourth Proportional to 2,297.65, 3,440.28 and 1,199.69

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Solution

The fourth proportional to 2,297.65, 3,440.28 and 1,199.69 is: 1,796.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.65 : 3,440.28 = 1,199.69 : x
  2. Step 2: Convert to fraction form
    2,297.65/3,440.28 = 1,199.69/x
  3. Step 3: Cross multiply
    2,297.65x = 3,440.28 × 1,199.69
  4. Step 4: Simplify right side
    2,297.65x = 4,127,269.51
  5. Step 5: Solve for x
    x = 4,127,269.51/2,297.65
  6. Step 6: Final answer
    x = 1,796.30

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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.