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Finding the Fourth Proportional to 3,436.77, 4,742.73 and 1,944.54

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Solution

The fourth proportional to 3,436.77, 4,742.73 and 1,944.54 is: 2,683.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,436.77 : 4,742.73 = 1,944.54 : x
  2. Step 2: Convert to fraction form
    3,436.77/4,742.73 = 1,944.54/x
  3. Step 3: Cross multiply
    3,436.77x = 4,742.73 × 1,944.54
  4. Step 4: Simplify right side
    3,436.77x = 9,222,428.19
  5. Step 5: Solve for x
    x = 9,222,428.19/3,436.77
  6. Step 6: Final answer
    x = 2,683.46

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1.5x scale

Why These Related Problems?

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