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Finding the Fourth Proportional to 2,394.98, 3,586.44 and 1,514.82

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Solution

The fourth proportional to 2,394.98, 3,586.44 and 1,514.82 is: 2,268.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,394.98 : 3,586.44 = 1,514.82 : x
  2. Step 2: Convert to fraction form
    2,394.98/3,586.44 = 1,514.82/x
  3. Step 3: Cross multiply
    2,394.98x = 3,586.44 × 1,514.82
  4. Step 4: Simplify right side
    2,394.98x = 5,432,811.04
  5. Step 5: Solve for x
    x = 5,432,811.04/2,394.98
  6. Step 6: Final answer
    x = 2,268.42

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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.