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Finding the Fourth Proportional to 2,468.49, 3,408.48 and 1,525.65

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Solution

The fourth proportional to 2,468.49, 3,408.48 and 1,525.65 is: 2,106.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.49 : 3,408.48 = 1,525.65 : x
  2. Step 2: Convert to fraction form
    2,468.49/3,408.48 = 1,525.65/x
  3. Step 3: Cross multiply
    2,468.49x = 3,408.48 × 1,525.65
  4. Step 4: Simplify right side
    2,468.49x = 5,200,147.51
  5. Step 5: Solve for x
    x = 5,200,147.51/2,468.49
  6. Step 6: Final answer
    x = 2,106.61

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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.