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Finding the Fourth Proportional to 3,073.06, 4,606.71 and 1,123.75

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Solution

The fourth proportional to 3,073.06, 4,606.71 and 1,123.75 is: 1,684.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,073.06 : 4,606.71 = 1,123.75 : x
  2. Step 2: Convert to fraction form
    3,073.06/4,606.71 = 1,123.75/x
  3. Step 3: Cross multiply
    3,073.06x = 4,606.71 × 1,123.75
  4. Step 4: Simplify right side
    3,073.06x = 5,176,790.36
  5. Step 5: Solve for x
    x = 5,176,790.36/3,073.06
  6. Step 6: Final answer
    x = 1,684.57

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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.