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Finding the Fourth Proportional to 2,473.44, 3,696.48 and 2,216.46

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Solution

The fourth proportional to 2,473.44, 3,696.48 and 2,216.46 is: 3,312.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.44 : 3,696.48 = 2,216.46 : x
  2. Step 2: Convert to fraction form
    2,473.44/3,696.48 = 2,216.46/x
  3. Step 3: Cross multiply
    2,473.44x = 3,696.48 × 2,216.46
  4. Step 4: Simplify right side
    2,473.44x = 8,193,100.06
  5. Step 5: Solve for x
    x = 8,193,100.06/2,473.44
  6. Step 6: Final answer
    x = 3,312.43

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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.