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Finding the Fourth Proportional to 3,212.19, 4,818.50 and 990.75

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Solution

The fourth proportional to 3,212.19, 4,818.50 and 990.75 is: 1,486.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,212.19 : 4,818.50 = 990.75 : x
  2. Step 2: Convert to fraction form
    3,212.19/4,818.50 = 990.75/x
  3. Step 3: Cross multiply
    3,212.19x = 4,818.50 × 990.75
  4. Step 4: Simplify right side
    3,212.19x = 4,773,923.92
  5. Step 5: Solve for x
    x = 4,773,923.92/3,212.19
  6. Step 6: Final answer
    x = 1,486.19

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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.