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Finding the Fourth Proportional to 1,272.04, 1,906.14 and 1,184.68

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Solution

The fourth proportional to 1,272.04, 1,906.14 and 1,184.68 is: 1,775.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,272.04 : 1,906.14 = 1,184.68 : x
  2. Step 2: Convert to fraction form
    1,272.04/1,906.14 = 1,184.68/x
  3. Step 3: Cross multiply
    1,272.04x = 1,906.14 × 1,184.68
  4. Step 4: Simplify right side
    1,272.04x = 2,258,165.94
  5. Step 5: Solve for x
    x = 2,258,165.94/1,272.04
  6. Step 6: Final answer
    x = 1,775.23

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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.