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Finding the Fourth Proportional to 2,762.46, 3,812.18 and 1,520.46

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Solution

The fourth proportional to 2,762.46, 3,812.18 and 1,520.46 is: 2,098.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.46 : 3,812.18 = 1,520.46 : x
  2. Step 2: Convert to fraction form
    2,762.46/3,812.18 = 1,520.46/x
  3. Step 3: Cross multiply
    2,762.46x = 3,812.18 × 1,520.46
  4. Step 4: Simplify right side
    2,762.46x = 5,796,259.60
  5. Step 5: Solve for x
    x = 5,796,259.60/2,762.46
  6. Step 6: Final answer
    x = 2,098.22

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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.