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Finding the Fourth Proportional to 3,316.49, 4,576.64 and 1,824.26

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Solution

The fourth proportional to 3,316.49, 4,576.64 and 1,824.26 is: 2,517.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,316.49 : 4,576.64 = 1,824.26 : x
  2. Step 2: Convert to fraction form
    3,316.49/4,576.64 = 1,824.26/x
  3. Step 3: Cross multiply
    3,316.49x = 4,576.64 × 1,824.26
  4. Step 4: Simplify right side
    3,316.49x = 8,348,983.61
  5. Step 5: Solve for x
    x = 8,348,983.61/3,316.49
  6. Step 6: Final answer
    x = 2,517.42

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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.