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Finding the Fourth Proportional to 2,667.48, 3,681.36 and 1,488.66

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Solution

The fourth proportional to 2,667.48, 3,681.36 and 1,488.66 is: 2,054.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,667.48 : 3,681.36 = 1,488.66 : x
  2. Step 2: Convert to fraction form
    2,667.48/3,681.36 = 1,488.66/x
  3. Step 3: Cross multiply
    2,667.48x = 3,681.36 × 1,488.66
  4. Step 4: Simplify right side
    2,667.48x = 5,480,293.38
  5. Step 5: Solve for x
    x = 5,480,293.38/2,667.48
  6. Step 6: Final answer
    x = 2,054.48

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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.