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Finding the Fourth Proportional to 1,584.15, 2,375.41 and 1,064.13

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Solution

The fourth proportional to 1,584.15, 2,375.41 and 1,064.13 is: 1,595.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.15 : 2,375.41 = 1,064.13 : x
  2. Step 2: Convert to fraction form
    1,584.15/2,375.41 = 1,064.13/x
  3. Step 3: Cross multiply
    1,584.15x = 2,375.41 × 1,064.13
  4. Step 4: Simplify right side
    1,584.15x = 2,527,745.04
  5. Step 5: Solve for x
    x = 2,527,745.04/1,584.15
  6. Step 6: Final answer
    x = 1,595.65

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1.5x scale

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.