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Finding the Fourth Proportional to 3,101.94, 4,653.36 and 1,127.70

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Solution

The fourth proportional to 3,101.94, 4,653.36 and 1,127.70 is: 1,691.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101.94 : 4,653.36 = 1,127.70 : x
  2. Step 2: Convert to fraction form
    3,101.94/4,653.36 = 1,127.70/x
  3. Step 3: Cross multiply
    3,101.94x = 4,653.36 × 1,127.70
  4. Step 4: Simplify right side
    3,101.94x = 5,247,594.07
  5. Step 5: Solve for x
    x = 5,247,594.07/3,101.94
  6. Step 6: Final answer
    x = 1,691.71

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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.