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Finding the Fourth Proportional to 3,311.74, 4,964.50 and 1,118.93

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Solution

The fourth proportional to 3,311.74, 4,964.50 and 1,118.93 is: 1,677.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,311.74 : 4,964.50 = 1,118.93 : x
  2. Step 2: Convert to fraction form
    3,311.74/4,964.50 = 1,118.93/x
  3. Step 3: Cross multiply
    3,311.74x = 4,964.50 × 1,118.93
  4. Step 4: Simplify right side
    3,311.74x = 5,554,927.99
  5. Step 5: Solve for x
    x = 5,554,927.99/3,311.74
  6. Step 6: Final answer
    x = 1,677.34

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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.