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Finding the Fourth Proportional to 2,677.60, 4,016.64 and 946.24

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Solution

The fourth proportional to 2,677.60, 4,016.64 and 946.24 is: 1,419.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,677.60 : 4,016.64 = 946.24 : x
  2. Step 2: Convert to fraction form
    2,677.60/4,016.64 = 946.24/x
  3. Step 3: Cross multiply
    2,677.60x = 4,016.64 × 946.24
  4. Step 4: Simplify right side
    2,677.60x = 3,800,705.43
  5. Step 5: Solve for x
    x = 3,800,705.43/2,677.60
  6. Step 6: Final answer
    x = 1,419.44

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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.