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Finding the Fourth Proportional to 3,283.60, 4,924.54 and 1,309.15

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Solution

The fourth proportional to 3,283.60, 4,924.54 and 1,309.15 is: 1,963.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,283.60 : 4,924.54 = 1,309.15 : x
  2. Step 2: Convert to fraction form
    3,283.60/4,924.54 = 1,309.15/x
  3. Step 3: Cross multiply
    3,283.60x = 4,924.54 × 1,309.15
  4. Step 4: Simplify right side
    3,283.60x = 6,446,961.54
  5. Step 5: Solve for x
    x = 6,446,961.54/3,283.60
  6. Step 6: Final answer
    x = 1,963.38

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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.