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Finding the Fourth Proportional to 2,762.84, 3,812.46 and 2,240.12

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Solution

The fourth proportional to 2,762.84, 3,812.46 and 2,240.12 is: 3,091.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.84 : 3,812.46 = 2,240.12 : x
  2. Step 2: Convert to fraction form
    2,762.84/3,812.46 = 2,240.12/x
  3. Step 3: Cross multiply
    2,762.84x = 3,812.46 × 2,240.12
  4. Step 4: Simplify right side
    2,762.84x = 8,540,367.90
  5. Step 5: Solve for x
    x = 8,540,367.90/2,762.84
  6. Step 6: Final answer
    x = 3,091.16

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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.