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Finding the Fourth Proportional to 2,762.52, 3,812.26 and 1,520.52

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Solution

The fourth proportional to 2,762.52, 3,812.26 and 1,520.52 is: 2,098.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.52 : 3,812.26 = 1,520.52 : x
  2. Step 2: Convert to fraction form
    2,762.52/3,812.26 = 1,520.52/x
  3. Step 3: Cross multiply
    2,762.52x = 3,812.26 × 1,520.52
  4. Step 4: Simplify right side
    2,762.52x = 5,796,617.58
  5. Step 5: Solve for x
    x = 5,796,617.58/2,762.52
  6. Step 6: Final answer
    x = 2,098.31

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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.