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Finding the Fourth Proportional to 3,792.84, 5,689.80 and 1,195.50

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Solution

The fourth proportional to 3,792.84, 5,689.80 and 1,195.50 is: 1,793.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,792.84 : 5,689.80 = 1,195.50 : x
  2. Step 2: Convert to fraction form
    3,792.84/5,689.80 = 1,195.50/x
  3. Step 3: Cross multiply
    3,792.84x = 5,689.80 × 1,195.50
  4. Step 4: Simplify right side
    3,792.84x = 6,802,155.90
  5. Step 5: Solve for x
    x = 6,802,155.90/3,792.84
  6. Step 6: Final answer
    x = 1,793.42

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1.5x scale

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.