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Finding the Fourth Proportional to 2,564.73, 3,847.77 and 1,176.93

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Solution

The fourth proportional to 2,564.73, 3,847.77 and 1,176.93 is: 1,765.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.73 : 3,847.77 = 1,176.93 : x
  2. Step 2: Convert to fraction form
    2,564.73/3,847.77 = 1,176.93/x
  3. Step 3: Cross multiply
    2,564.73x = 3,847.77 × 1,176.93
  4. Step 4: Simplify right side
    2,564.73x = 4,528,555.95
  5. Step 5: Solve for x
    x = 4,528,555.95/2,564.73
  6. Step 6: Final answer
    x = 1,765.70

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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.