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Finding the Fourth Proportional to 3,283.57, 4,925.80 and 1,203.08

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Solution

The fourth proportional to 3,283.57, 4,925.80 and 1,203.08 is: 1,804.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,283.57 : 4,925.80 = 1,203.08 : x
  2. Step 2: Convert to fraction form
    3,283.57/4,925.80 = 1,203.08/x
  3. Step 3: Cross multiply
    3,283.57x = 4,925.80 × 1,203.08
  4. Step 4: Simplify right side
    3,283.57x = 5,926,145.28
  5. Step 5: Solve for x
    x = 5,926,145.28/3,283.57
  6. Step 6: Final answer
    x = 1,804.79

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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.