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Finding the Fourth Proportional to 2,700.92, 3,728.52 and 2,038.04

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Solution

The fourth proportional to 2,700.92, 3,728.52 and 2,038.04 is: 2,813.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,700.92 : 3,728.52 = 2,038.04 : x
  2. Step 2: Convert to fraction form
    2,700.92/3,728.52 = 2,038.04/x
  3. Step 3: Cross multiply
    2,700.92x = 3,728.52 × 2,038.04
  4. Step 4: Simplify right side
    2,700.92x = 7,598,872.90
  5. Step 5: Solve for x
    x = 7,598,872.90/2,700.92
  6. Step 6: Final answer
    x = 2,813.44

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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.