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Finding the Fourth Proportional to 2,334.78, 3,215.16 and 2,019.60

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Solution

The fourth proportional to 2,334.78, 3,215.16 and 2,019.60 is: 2,781.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,334.78 : 3,215.16 = 2,019.60 : x
  2. Step 2: Convert to fraction form
    2,334.78/3,215.16 = 2,019.60/x
  3. Step 3: Cross multiply
    2,334.78x = 3,215.16 × 2,019.60
  4. Step 4: Simplify right side
    2,334.78x = 6,493,337.14
  5. Step 5: Solve for x
    x = 6,493,337.14/2,334.78
  6. Step 6: Final answer
    x = 2,781.13

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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.