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Finding the Fourth Proportional to 2,381.86, 3,572.16 and 821.62

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Solution

The fourth proportional to 2,381.86, 3,572.16 and 821.62 is: 1,232.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,381.86 : 3,572.16 = 821.62 : x
  2. Step 2: Convert to fraction form
    2,381.86/3,572.16 = 821.62/x
  3. Step 3: Cross multiply
    2,381.86x = 3,572.16 × 821.62
  4. Step 4: Simplify right side
    2,381.86x = 2,934,958.10
  5. Step 5: Solve for x
    x = 2,934,958.10/2,381.86
  6. Step 6: Final answer
    x = 1,232.21

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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.