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Finding the Fourth Proportional to 2,343.95, 3,514.20 and 1,419.29

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Solution

The fourth proportional to 2,343.95, 3,514.20 and 1,419.29 is: 2,127.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,343.95 : 3,514.20 = 1,419.29 : x
  2. Step 2: Convert to fraction form
    2,343.95/3,514.20 = 1,419.29/x
  3. Step 3: Cross multiply
    2,343.95x = 3,514.20 × 1,419.29
  4. Step 4: Simplify right side
    2,343.95x = 4,987,670.61
  5. Step 5: Solve for x
    x = 4,987,670.61/2,343.95
  6. Step 6: Final answer
    x = 2,127.89

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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.