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Finding the Fourth Proportional to 3,482.87, 4,806.54 and 1,990.85

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Solution

The fourth proportional to 3,482.87, 4,806.54 and 1,990.85 is: 2,747.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,482.87 : 4,806.54 = 1,990.85 : x
  2. Step 2: Convert to fraction form
    3,482.87/4,806.54 = 1,990.85/x
  3. Step 3: Cross multiply
    3,482.87x = 4,806.54 × 1,990.85
  4. Step 4: Simplify right side
    3,482.87x = 9,569,076.13
  5. Step 5: Solve for x
    x = 9,569,076.13/3,482.87
  6. Step 6: Final answer
    x = 2,747.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.