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Finding the Fourth Proportional to 1,851.67, 2,778.15 and 1,158.85

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Solution

The fourth proportional to 1,851.67, 2,778.15 and 1,158.85 is: 1,738.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,851.67 : 2,778.15 = 1,158.85 : x
  2. Step 2: Convert to fraction form
    1,851.67/2,778.15 = 1,158.85/x
  3. Step 3: Cross multiply
    1,851.67x = 2,778.15 × 1,158.85
  4. Step 4: Simplify right side
    1,851.67x = 3,219,459.13
  5. Step 5: Solve for x
    x = 3,219,459.13/1,851.67
  6. Step 6: Final answer
    x = 1,738.68

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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.