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Finding the Fourth Proportional to 2,667.44, 3,681.24 and 1,488.62

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Solution

The fourth proportional to 2,667.44, 3,681.24 and 1,488.62 is: 2,054.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,667.44 : 3,681.24 = 1,488.62 : x
  2. Step 2: Convert to fraction form
    2,667.44/3,681.24 = 1,488.62/x
  3. Step 3: Cross multiply
    2,667.44x = 3,681.24 × 1,488.62
  4. Step 4: Simplify right side
    2,667.44x = 5,479,967.49
  5. Step 5: Solve for x
    x = 5,479,967.49/2,667.44
  6. Step 6: Final answer
    x = 2,054.39

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Why These Related Problems?

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