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Finding the Fourth Proportional to 2,188.96, 3,019.48 and 1,524.64

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Solution

The fourth proportional to 2,188.96, 3,019.48 and 1,524.64 is: 2,103.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188.96 : 3,019.48 = 1,524.64 : x
  2. Step 2: Convert to fraction form
    2,188.96/3,019.48 = 1,524.64/x
  3. Step 3: Cross multiply
    2,188.96x = 3,019.48 × 1,524.64
  4. Step 4: Simplify right side
    2,188.96x = 4,603,619.99
  5. Step 5: Solve for x
    x = 4,603,619.99/2,188.96
  6. Step 6: Final answer
    x = 2,103.11

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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.