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Finding the Fourth Proportional to 2,297.30, 3,168.96 and 1,412.47

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Solution

The fourth proportional to 2,297.30, 3,168.96 and 1,412.47 is: 1,948.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.30 : 3,168.96 = 1,412.47 : x
  2. Step 2: Convert to fraction form
    2,297.30/3,168.96 = 1,412.47/x
  3. Step 3: Cross multiply
    2,297.30x = 3,168.96 × 1,412.47
  4. Step 4: Simplify right side
    2,297.30x = 4,476,059.60
  5. Step 5: Solve for x
    x = 4,476,059.60/2,297.30
  6. Step 6: Final answer
    x = 1,948.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.