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Finding the Fourth Proportional to 3,482.83, 4,806.64 and 1,990.88

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Solution

The fourth proportional to 3,482.83, 4,806.64 and 1,990.88 is: 2,747.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,482.83 : 4,806.64 = 1,990.88 : x
  2. Step 2: Convert to fraction form
    3,482.83/4,806.64 = 1,990.88/x
  3. Step 3: Cross multiply
    3,482.83x = 4,806.64 × 1,990.88
  4. Step 4: Simplify right side
    3,482.83x = 9,569,439.92
  5. Step 5: Solve for x
    x = 9,569,439.92/3,482.83
  6. Step 6: Final answer
    x = 2,747.60

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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.