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Finding the Fourth Proportional to 3,160.77, 4,740.75 and 1,773.24

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Solution

The fourth proportional to 3,160.77, 4,740.75 and 1,773.24 is: 2,659.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,160.77 : 4,740.75 = 1,773.24 : x
  2. Step 2: Convert to fraction form
    3,160.77/4,740.75 = 1,773.24/x
  3. Step 3: Cross multiply
    3,160.77x = 4,740.75 × 1,773.24
  4. Step 4: Simplify right side
    3,160.77x = 8,406,487.53
  5. Step 5: Solve for x
    x = 8,406,487.53/3,160.77
  6. Step 6: Final answer
    x = 2,659.63

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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.