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Finding the Fourth Proportional to 2,116.86, 3,174.54 and 817.98

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Solution

The fourth proportional to 2,116.86, 3,174.54 and 817.98 is: 1,226.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116.86 : 3,174.54 = 817.98 : x
  2. Step 2: Convert to fraction form
    2,116.86/3,174.54 = 817.98/x
  3. Step 3: Cross multiply
    2,116.86x = 3,174.54 × 817.98
  4. Step 4: Simplify right side
    2,116.86x = 2,596,710.23
  5. Step 5: Solve for x
    x = 2,596,710.23/2,116.86
  6. Step 6: Final answer
    x = 1,226.68

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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.