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Finding the Fourth Proportional to 1,934.50, 2,667.81 and 1,491.70

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Solution

The fourth proportional to 1,934.50, 2,667.81 and 1,491.70 is: 2,057.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,934.50 : 2,667.81 = 1,491.70 : x
  2. Step 2: Convert to fraction form
    1,934.50/2,667.81 = 1,491.70/x
  3. Step 3: Cross multiply
    1,934.50x = 2,667.81 × 1,491.70
  4. Step 4: Simplify right side
    1,934.50x = 3,979,572.18
  5. Step 5: Solve for x
    x = 3,979,572.18/1,934.50
  6. Step 6: Final answer
    x = 2,057.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.