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Finding the Fourth Proportional to 2,297.64, 3,443.34 and 1,678.44

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Solution

The fourth proportional to 2,297.64, 3,443.34 and 1,678.44 is: 2,515.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.64 : 3,443.34 = 1,678.44 : x
  2. Step 2: Convert to fraction form
    2,297.64/3,443.34 = 1,678.44/x
  3. Step 3: Cross multiply
    2,297.64x = 3,443.34 × 1,678.44
  4. Step 4: Simplify right side
    2,297.64x = 5,779,439.59
  5. Step 5: Solve for x
    x = 5,779,439.59/2,297.64
  6. Step 6: Final answer
    x = 2,515.38

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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.