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Finding the Fourth Proportional to 3,188.72, 4,783.36 and 880.22

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Solution

The fourth proportional to 3,188.72, 4,783.36 and 880.22 is: 1,320.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188.72 : 4,783.36 = 880.22 : x
  2. Step 2: Convert to fraction form
    3,188.72/4,783.36 = 880.22/x
  3. Step 3: Cross multiply
    3,188.72x = 4,783.36 × 880.22
  4. Step 4: Simplify right side
    3,188.72x = 4,210,404.74
  5. Step 5: Solve for x
    x = 4,210,404.74/3,188.72
  6. Step 6: Final answer
    x = 1,320.41

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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.