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Finding the Fourth Proportional to 3,074.93, 4,242.12 and 1,956.48

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Solution

The fourth proportional to 3,074.93, 4,242.12 and 1,956.48 is: 2,699.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,074.93 : 4,242.12 = 1,956.48 : x
  2. Step 2: Convert to fraction form
    3,074.93/4,242.12 = 1,956.48/x
  3. Step 3: Cross multiply
    3,074.93x = 4,242.12 × 1,956.48
  4. Step 4: Simplify right side
    3,074.93x = 8,299,622.94
  5. Step 5: Solve for x
    x = 8,299,622.94/3,074.93
  6. Step 6: Final answer
    x = 2,699.13

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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.