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Finding the Fourth Proportional to 2,798.84, 4,217.22 and 2,322.56

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Solution

The fourth proportional to 2,798.84, 4,217.22 and 2,322.56 is: 3,499.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,798.84 : 4,217.22 = 2,322.56 : x
  2. Step 2: Convert to fraction form
    2,798.84/4,217.22 = 2,322.56/x
  3. Step 3: Cross multiply
    2,798.84x = 4,217.22 × 2,322.56
  4. Step 4: Simplify right side
    2,798.84x = 9,794,746.48
  5. Step 5: Solve for x
    x = 9,794,746.48/2,798.84
  6. Step 6: Final answer
    x = 3,499.57

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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.