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Finding the Fourth Proportional to 3,062, 4,594.44 and 1,601.84

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Solution

The fourth proportional to 3,062, 4,594.44 and 1,601.84 is: 2,403.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,062 : 4,594.44 = 1,601.84 : x
  2. Step 2: Convert to fraction form
    3,062/4,594.44 = 1,601.84/x
  3. Step 3: Cross multiply
    3,062x = 4,594.44 × 1,601.84
  4. Step 4: Simplify right side
    3,062x = 7,359,557.77
  5. Step 5: Solve for x
    x = 7,359,557.77/3,062
  6. Step 6: Final answer
    x = 2,403.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.