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Finding the Fourth Proportional to 2,908.38, 4,015 and 2,024.94

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Solution

The fourth proportional to 2,908.38, 4,015 and 2,024.94 is: 2,795.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,908.38 : 4,015 = 2,024.94 : x
  2. Step 2: Convert to fraction form
    2,908.38/4,015 = 2,024.94/x
  3. Step 3: Cross multiply
    2,908.38x = 4,015 × 2,024.94
  4. Step 4: Simplify right side
    2,908.38x = 8,130,134.10
  5. Step 5: Solve for x
    x = 8,130,134.10/2,908.38
  6. Step 6: Final answer
    x = 2,795.42

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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.