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Finding the Fourth Proportional to 2,847.73, 4,260.78 and 1,737.45

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Solution

The fourth proportional to 2,847.73, 4,260.78 and 1,737.45 is: 2,599.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,847.73 : 4,260.78 = 1,737.45 : x
  2. Step 2: Convert to fraction form
    2,847.73/4,260.78 = 1,737.45/x
  3. Step 3: Cross multiply
    2,847.73x = 4,260.78 × 1,737.45
  4. Step 4: Simplify right side
    2,847.73x = 7,402,887.32
  5. Step 5: Solve for x
    x = 7,402,887.32/2,847.73
  6. Step 6: Final answer
    x = 2,599.57

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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.