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Finding the Fourth Proportional to 2,817.98, 3,889.08 and 1,698.86

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Solution

The fourth proportional to 2,817.98, 3,889.08 and 1,698.86 is: 2,344.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,817.98 : 3,889.08 = 1,698.86 : x
  2. Step 2: Convert to fraction form
    2,817.98/3,889.08 = 1,698.86/x
  3. Step 3: Cross multiply
    2,817.98x = 3,889.08 × 1,698.86
  4. Step 4: Simplify right side
    2,817.98x = 6,607,002.45
  5. Step 5: Solve for x
    x = 6,607,002.45/2,817.98
  6. Step 6: Final answer
    x = 2,344.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.