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Finding the Fourth Proportional to 2,585.16, 3,884.22 and 2,429.64

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Solution

The fourth proportional to 2,585.16, 3,884.22 and 2,429.64 is: 3,650.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,585.16 : 3,884.22 = 2,429.64 : x
  2. Step 2: Convert to fraction form
    2,585.16/3,884.22 = 2,429.64/x
  3. Step 3: Cross multiply
    2,585.16x = 3,884.22 × 2,429.64
  4. Step 4: Simplify right side
    2,585.16x = 9,437,256.28
  5. Step 5: Solve for x
    x = 9,437,256.28/2,585.16
  6. Step 6: Final answer
    x = 3,650.55

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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.