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Finding the Fourth Proportional to 2,974.96, 4,468.92 and 2,428.48

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Solution

The fourth proportional to 2,974.96, 4,468.92 and 2,428.48 is: 3,648.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,974.96 : 4,468.92 = 2,428.48 : x
  2. Step 2: Convert to fraction form
    2,974.96/4,468.92 = 2,428.48/x
  3. Step 3: Cross multiply
    2,974.96x = 4,468.92 × 2,428.48
  4. Step 4: Simplify right side
    2,974.96x = 10,852,682.84
  5. Step 5: Solve for x
    x = 10,852,682.84/2,974.96
  6. Step 6: Final answer
    x = 3,648.01

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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.