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Finding the Fourth Proportional to 3,322.96, 4,963.76 and 2,458.96

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Solution

The fourth proportional to 3,322.96, 4,963.76 and 2,458.96 is: 3,673.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,322.96 : 4,963.76 = 2,458.96 : x
  2. Step 2: Convert to fraction form
    3,322.96/4,963.76 = 2,458.96/x
  3. Step 3: Cross multiply
    3,322.96x = 4,963.76 × 2,458.96
  4. Step 4: Simplify right side
    3,322.96x = 12,205,687.29
  5. Step 5: Solve for x
    x = 12,205,687.29/3,322.96
  6. Step 6: Final answer
    x = 3,673.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.