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Finding the Fourth Proportional to 2,667.72, 3,681.47 and 1,488.86

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Solution

The fourth proportional to 2,667.72, 3,681.47 and 1,488.86 is: 2,054.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,667.72 : 3,681.47 = 1,488.86 : x
  2. Step 2: Convert to fraction form
    2,667.72/3,681.47 = 1,488.86/x
  3. Step 3: Cross multiply
    2,667.72x = 3,681.47 × 1,488.86
  4. Step 4: Simplify right side
    2,667.72x = 5,481,167.57
  5. Step 5: Solve for x
    x = 5,481,167.57/2,667.72
  6. Step 6: Final answer
    x = 2,054.63

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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.