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Finding the Fourth Proportional to 2,579.16, 3,875.22 and 2,423.64

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Solution

The fourth proportional to 2,579.16, 3,875.22 and 2,423.64 is: 3,641.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,579.16 : 3,875.22 = 2,423.64 : x
  2. Step 2: Convert to fraction form
    2,579.16/3,875.22 = 2,423.64/x
  3. Step 3: Cross multiply
    2,579.16x = 3,875.22 × 2,423.64
  4. Step 4: Simplify right side
    2,579.16x = 9,392,138.20
  5. Step 5: Solve for x
    x = 9,392,138.20/2,579.16
  6. Step 6: Final answer
    x = 3,641.55

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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.