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Finding the Fourth Proportional to 2,762.84, 4,162.98 and 2,286.56

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Solution

The fourth proportional to 2,762.84, 4,162.98 and 2,286.56 is: 3,445.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.84 : 4,162.98 = 2,286.56 : x
  2. Step 2: Convert to fraction form
    2,762.84/4,162.98 = 2,286.56/x
  3. Step 3: Cross multiply
    2,762.84x = 4,162.98 × 2,286.56
  4. Step 4: Simplify right side
    2,762.84x = 9,518,903.55
  5. Step 5: Solve for x
    x = 9,518,903.55/2,762.84
  6. Step 6: Final answer
    x = 3,445.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.