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Finding the Fourth Proportional to 3,461.73, 5,196.06 and 1,821.74

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Solution

The fourth proportional to 3,461.73, 5,196.06 and 1,821.74 is: 2,734.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461.73 : 5,196.06 = 1,821.74 : x
  2. Step 2: Convert to fraction form
    3,461.73/5,196.06 = 1,821.74/x
  3. Step 3: Cross multiply
    3,461.73x = 5,196.06 × 1,821.74
  4. Step 4: Simplify right side
    3,461.73x = 9,465,844.36
  5. Step 5: Solve for x
    x = 9,465,844.36/3,461.73
  6. Step 6: Final answer
    x = 2,734.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.