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Finding the Fourth Proportional to 3,171.04, 4,758.96 and 1,223.68

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Solution

The fourth proportional to 3,171.04, 4,758.96 and 1,223.68 is: 1,836.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,171.04 : 4,758.96 = 1,223.68 : x
  2. Step 2: Convert to fraction form
    3,171.04/4,758.96 = 1,223.68/x
  3. Step 3: Cross multiply
    3,171.04x = 4,758.96 × 1,223.68
  4. Step 4: Simplify right side
    3,171.04x = 5,823,444.17
  5. Step 5: Solve for x
    x = 5,823,444.17/3,171.04
  6. Step 6: Final answer
    x = 1,836.45

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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.