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Finding the Fourth Proportional to 2,194.98, 3,288.69 and 1,575.74

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Solution

The fourth proportional to 2,194.98, 3,288.69 and 1,575.74 is: 2,360.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194.98 : 3,288.69 = 1,575.74 : x
  2. Step 2: Convert to fraction form
    2,194.98/3,288.69 = 1,575.74/x
  3. Step 3: Cross multiply
    2,194.98x = 3,288.69 × 1,575.74
  4. Step 4: Simplify right side
    2,194.98x = 5,182,103.94
  5. Step 5: Solve for x
    x = 5,182,103.94/2,194.98
  6. Step 6: Final answer
    x = 2,360.89

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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.