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Finding the Fourth Proportional to 2,342.90, 3,514.36 and 1,304.48

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Solution

The fourth proportional to 2,342.90, 3,514.36 and 1,304.48 is: 1,956.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342.90 : 3,514.36 = 1,304.48 : x
  2. Step 2: Convert to fraction form
    2,342.90/3,514.36 = 1,304.48/x
  3. Step 3: Cross multiply
    2,342.90x = 3,514.36 × 1,304.48
  4. Step 4: Simplify right side
    2,342.90x = 4,584,412.33
  5. Step 5: Solve for x
    x = 4,584,412.33/2,342.90
  6. Step 6: Final answer
    x = 1,956.73

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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.