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Finding the Fourth Proportional to 1,218.84, 1,835.93 and 1,109.85

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Solution

The fourth proportional to 1,218.84, 1,835.93 and 1,109.85 is: 1,671.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.84 : 1,835.93 = 1,109.85 : x
  2. Step 2: Convert to fraction form
    1,218.84/1,835.93 = 1,109.85/x
  3. Step 3: Cross multiply
    1,218.84x = 1,835.93 × 1,109.85
  4. Step 4: Simplify right side
    1,218.84x = 2,037,597.73
  5. Step 5: Solve for x
    x = 2,037,597.73/1,218.84
  6. Step 6: Final answer
    x = 1,671.75

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.