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Finding the Fourth Proportional to 2,667.87, 3,681.68 and 1,488.94

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Solution

The fourth proportional to 2,667.87, 3,681.68 and 1,488.94 is: 2,054.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,667.87 : 3,681.68 = 1,488.94 : x
  2. Step 2: Convert to fraction form
    2,667.87/3,681.68 = 1,488.94/x
  3. Step 3: Cross multiply
    2,667.87x = 3,681.68 × 1,488.94
  4. Step 4: Simplify right side
    2,667.87x = 5,481,800.62
  5. Step 5: Solve for x
    x = 5,481,800.62/2,667.87
  6. Step 6: Final answer
    x = 2,054.75

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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.