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Finding the Fourth Proportional to 2,297.60, 3,447.30 and 910.70

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Solution

The fourth proportional to 2,297.60, 3,447.30 and 910.70 is: 1,366.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.60 : 3,447.30 = 910.70 : x
  2. Step 2: Convert to fraction form
    2,297.60/3,447.30 = 910.70/x
  3. Step 3: Cross multiply
    2,297.60x = 3,447.30 × 910.70
  4. Step 4: Simplify right side
    2,297.60x = 3,139,456.11
  5. Step 5: Solve for x
    x = 3,139,456.11/2,297.60
  6. Step 6: Final answer
    x = 1,366.41

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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.