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Finding the Fourth Proportional to 1,218.21, 1,823.86 and 1,102.87

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Solution

The fourth proportional to 1,218.21, 1,823.86 and 1,102.87 is: 1,651.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.21 : 1,823.86 = 1,102.87 : x
  2. Step 2: Convert to fraction form
    1,218.21/1,823.86 = 1,102.87/x
  3. Step 3: Cross multiply
    1,218.21x = 1,823.86 × 1,102.87
  4. Step 4: Simplify right side
    1,218.21x = 2,011,480.48
  5. Step 5: Solve for x
    x = 2,011,480.48/1,218.21
  6. Step 6: Final answer
    x = 1,651.18

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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.