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Finding the Fourth Proportional to 1,847.69, 2,760.71 and 1,783.10

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Solution

The fourth proportional to 1,847.69, 2,760.71 and 1,783.10 is: 2,664.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,847.69 : 2,760.71 = 1,783.10 : x
  2. Step 2: Convert to fraction form
    1,847.69/2,760.71 = 1,783.10/x
  3. Step 3: Cross multiply
    1,847.69x = 2,760.71 × 1,783.10
  4. Step 4: Simplify right side
    1,847.69x = 4,922,608.20
  5. Step 5: Solve for x
    x = 4,922,608.20/1,847.69
  6. Step 6: Final answer
    x = 2,664.20

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.