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Finding the Fourth Proportional to 3,069.74, 4,601.40 and 1,424.92

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Solution

The fourth proportional to 3,069.74, 4,601.40 and 1,424.92 is: 2,135.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,069.74 : 4,601.40 = 1,424.92 : x
  2. Step 2: Convert to fraction form
    3,069.74/4,601.40 = 1,424.92/x
  3. Step 3: Cross multiply
    3,069.74x = 4,601.40 × 1,424.92
  4. Step 4: Simplify right side
    3,069.74x = 6,556,626.89
  5. Step 5: Solve for x
    x = 6,556,626.89/3,069.74
  6. Step 6: Final answer
    x = 2,135.89

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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.