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Finding the Fourth Proportional to 2,762.44, 3,812.16 and 1,520.44

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Solution

The fourth proportional to 2,762.44, 3,812.16 and 1,520.44 is: 2,098.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.44 : 3,812.16 = 1,520.44 : x
  2. Step 2: Convert to fraction form
    2,762.44/3,812.16 = 1,520.44/x
  3. Step 3: Cross multiply
    2,762.44x = 3,812.16 × 1,520.44
  4. Step 4: Simplify right side
    2,762.44x = 5,796,156.72
  5. Step 5: Solve for x
    x = 5,796,156.72/2,762.44
  6. Step 6: Final answer
    x = 2,098.20

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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.