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Finding the Fourth Proportional to 3,069.72, 4,603.78 and 1,424.68

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Solution

The fourth proportional to 3,069.72, 4,603.78 and 1,424.68 is: 2,136.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,069.72 : 4,603.78 = 1,424.68 : x
  2. Step 2: Convert to fraction form
    3,069.72/4,603.78 = 1,424.68/x
  3. Step 3: Cross multiply
    3,069.72x = 4,603.78 × 1,424.68
  4. Step 4: Simplify right side
    3,069.72x = 6,558,913.29
  5. Step 5: Solve for x
    x = 6,558,913.29/3,069.72
  6. Step 6: Final answer
    x = 2,136.65

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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.