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Finding the Fourth Proportional to 2,596.54, 3,584.04 and 2,464.30

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Solution

The fourth proportional to 2,596.54, 3,584.04 and 2,464.30 is: 3,401.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596.54 : 3,584.04 = 2,464.30 : x
  2. Step 2: Convert to fraction form
    2,596.54/3,584.04 = 2,464.30/x
  3. Step 3: Cross multiply
    2,596.54x = 3,584.04 × 2,464.30
  4. Step 4: Simplify right side
    2,596.54x = 8,832,149.77
  5. Step 5: Solve for x
    x = 8,832,149.77/2,596.54
  6. Step 6: Final answer
    x = 3,401.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.