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Finding the Fourth Proportional to 2,884.64, 4,317.72 and 2,302.64

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Solution

The fourth proportional to 2,884.64, 4,317.72 and 2,302.64 is: 3,446.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,884.64 : 4,317.72 = 2,302.64 : x
  2. Step 2: Convert to fraction form
    2,884.64/4,317.72 = 2,302.64/x
  3. Step 3: Cross multiply
    2,884.64x = 4,317.72 × 2,302.64
  4. Step 4: Simplify right side
    2,884.64x = 9,942,154.78
  5. Step 5: Solve for x
    x = 9,942,154.78/2,884.64
  6. Step 6: Final answer
    x = 3,446.58

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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.