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Finding the Fourth Proportional to 1,949.60, 2,920.75 and 976.39

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Solution

The fourth proportional to 1,949.60, 2,920.75 and 976.39 is: 1,462.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,949.60 : 2,920.75 = 976.39 : x
  2. Step 2: Convert to fraction form
    1,949.60/2,920.75 = 976.39/x
  3. Step 3: Cross multiply
    1,949.60x = 2,920.75 × 976.39
  4. Step 4: Simplify right side
    1,949.60x = 2,851,781.35
  5. Step 5: Solve for x
    x = 2,851,781.35/1,949.60
  6. Step 6: Final answer
    x = 1,462.75

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