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Finding the Fourth Proportional to 3,314.39, 4,573.97 and 1,822.42

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Solution

The fourth proportional to 3,314.39, 4,573.97 and 1,822.42 is: 2,515.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,314.39 : 4,573.97 = 1,822.42 : x
  2. Step 2: Convert to fraction form
    3,314.39/4,573.97 = 1,822.42/x
  3. Step 3: Cross multiply
    3,314.39x = 4,573.97 × 1,822.42
  4. Step 4: Simplify right side
    3,314.39x = 8,335,672.12
  5. Step 5: Solve for x
    x = 8,335,672.12/3,314.39
  6. Step 6: Final answer
    x = 2,515.00

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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.