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Finding the Fourth Proportional to 1,934.49, 2,667.51 and 1,491.42

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Solution

The fourth proportional to 1,934.49, 2,667.51 and 1,491.42 is: 2,056.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,934.49 : 2,667.51 = 1,491.42 : x
  2. Step 2: Convert to fraction form
    1,934.49/2,667.51 = 1,491.42/x
  3. Step 3: Cross multiply
    1,934.49x = 2,667.51 × 1,491.42
  4. Step 4: Simplify right side
    1,934.49x = 3,978,377.76
  5. Step 5: Solve for x
    x = 3,978,377.76/1,934.49
  6. Step 6: Final answer
    x = 2,056.55

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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.