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Finding the Fourth Proportional to 1,193.62, 1,792.59 and 1,142.59

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Solution

The fourth proportional to 1,193.62, 1,792.59 and 1,142.59 is: 1,715.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.62 : 1,792.59 = 1,142.59 : x
  2. Step 2: Convert to fraction form
    1,193.62/1,792.59 = 1,142.59/x
  3. Step 3: Cross multiply
    1,193.62x = 1,792.59 × 1,142.59
  4. Step 4: Simplify right side
    1,193.62x = 2,048,195.41
  5. Step 5: Solve for x
    x = 2,048,195.41/1,193.62
  6. Step 6: Final answer
    x = 1,715.95

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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.