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Finding the Fourth Proportional to 1,308.34, 1,963.05 and 1,177.12

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Solution

The fourth proportional to 1,308.34, 1,963.05 and 1,177.12 is: 1,766.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.34 : 1,963.05 = 1,177.12 : x
  2. Step 2: Convert to fraction form
    1,308.34/1,963.05 = 1,177.12/x
  3. Step 3: Cross multiply
    1,308.34x = 1,963.05 × 1,177.12
  4. Step 4: Simplify right side
    1,308.34x = 2,310,745.42
  5. Step 5: Solve for x
    x = 2,310,745.42/1,308.34
  6. Step 6: Final answer
    x = 1,766.17

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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.