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Finding the Fourth Proportional to 4,154.69, 6,232.95 and 1,522.09

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Solution

The fourth proportional to 4,154.69, 6,232.95 and 1,522.09 is: 2,283.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,154.69 : 6,232.95 = 1,522.09 : x
  2. Step 2: Convert to fraction form
    4,154.69/6,232.95 = 1,522.09/x
  3. Step 3: Cross multiply
    4,154.69x = 6,232.95 × 1,522.09
  4. Step 4: Simplify right side
    4,154.69x = 9,487,118.66
  5. Step 5: Solve for x
    x = 9,487,118.66/4,154.69
  6. Step 6: Final answer
    x = 2,283.47

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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.