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Finding the Fourth Proportional to 2,773.19, 4,156.87 and 1,106.66

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Solution

The fourth proportional to 2,773.19, 4,156.87 and 1,106.66 is: 1,658.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,773.19 : 4,156.87 = 1,106.66 : x
  2. Step 2: Convert to fraction form
    2,773.19/4,156.87 = 1,106.66/x
  3. Step 3: Cross multiply
    2,773.19x = 4,156.87 × 1,106.66
  4. Step 4: Simplify right side
    2,773.19x = 4,600,241.75
  5. Step 5: Solve for x
    x = 4,600,241.75/2,773.19
  6. Step 6: Final answer
    x = 1,658.83

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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.