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Finding the Fourth Proportional to 2,218.12, 3,328.68 and 919.58

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Solution

The fourth proportional to 2,218.12, 3,328.68 and 919.58 is: 1,379.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,218.12 : 3,328.68 = 919.58 : x
  2. Step 2: Convert to fraction form
    2,218.12/3,328.68 = 919.58/x
  3. Step 3: Cross multiply
    2,218.12x = 3,328.68 × 919.58
  4. Step 4: Simplify right side
    2,218.12x = 3,060,987.55
  5. Step 5: Solve for x
    x = 3,060,987.55/2,218.12
  6. Step 6: Final answer
    x = 1,379.99

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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.