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Finding the Fourth Proportional to 3,283.81, 4,924.27 and 1,203.28

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Solution

The fourth proportional to 3,283.81, 4,924.27 and 1,203.28 is: 1,804.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,283.81 : 4,924.27 = 1,203.28 : x
  2. Step 2: Convert to fraction form
    3,283.81/4,924.27 = 1,203.28/x
  3. Step 3: Cross multiply
    3,283.81x = 4,924.27 × 1,203.28
  4. Step 4: Simplify right side
    3,283.81x = 5,925,275.61
  5. Step 5: Solve for x
    x = 5,925,275.61/3,283.81
  6. Step 6: Final answer
    x = 1,804.39

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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.