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Finding the Fourth Proportional to 2,820.62, 3,892.48 and 1,578.62

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Solution

The fourth proportional to 2,820.62, 3,892.48 and 1,578.62 is: 2,178.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,820.62 : 3,892.48 = 1,578.62 : x
  2. Step 2: Convert to fraction form
    2,820.62/3,892.48 = 1,578.62/x
  3. Step 3: Cross multiply
    2,820.62x = 3,892.48 × 1,578.62
  4. Step 4: Simplify right side
    2,820.62x = 6,144,746.78
  5. Step 5: Solve for x
    x = 6,144,746.78/2,820.62
  6. Step 6: Final answer
    x = 2,178.51

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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.