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Finding the Fourth Proportional to 2,342.90, 3,519.83 and 2,014.85

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Solution

The fourth proportional to 2,342.90, 3,519.83 and 2,014.85 is: 3,026.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342.90 : 3,519.83 = 2,014.85 : x
  2. Step 2: Convert to fraction form
    2,342.90/3,519.83 = 2,014.85/x
  3. Step 3: Cross multiply
    2,342.90x = 3,519.83 × 2,014.85
  4. Step 4: Simplify right side
    2,342.90x = 7,091,943.31
  5. Step 5: Solve for x
    x = 7,091,943.31/2,342.90
  6. Step 6: Final answer
    x = 3,026.99

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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.