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Finding the Fourth Proportional to 2,884.67, 4,327.10 and 804.70

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Solution

The fourth proportional to 2,884.67, 4,327.10 and 804.70 is: 1,207.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,884.67 : 4,327.10 = 804.70 : x
  2. Step 2: Convert to fraction form
    2,884.67/4,327.10 = 804.70/x
  3. Step 3: Cross multiply
    2,884.67x = 4,327.10 × 804.70
  4. Step 4: Simplify right side
    2,884.67x = 3,482,017.37
  5. Step 5: Solve for x
    x = 3,482,017.37/2,884.67
  6. Step 6: Final answer
    x = 1,207.08

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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.