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Finding the Fourth Proportional to 1,943.77, 2,683.42 and 1,561.51

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Solution

The fourth proportional to 1,943.77, 2,683.42 and 1,561.51 is: 2,155.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,943.77 : 2,683.42 = 1,561.51 : x
  2. Step 2: Convert to fraction form
    1,943.77/2,683.42 = 1,561.51/x
  3. Step 3: Cross multiply
    1,943.77x = 2,683.42 × 1,561.51
  4. Step 4: Simplify right side
    1,943.77x = 4,190,197.78
  5. Step 5: Solve for x
    x = 4,190,197.78/1,943.77
  6. Step 6: Final answer
    x = 2,155.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.