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Finding the Fourth Proportional to 2,667.56, 3,681.42 and 1,488.60

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Solution

The fourth proportional to 2,667.56, 3,681.42 and 1,488.60 is: 2,054.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,667.56 : 3,681.42 = 1,488.60 : x
  2. Step 2: Convert to fraction form
    2,667.56/3,681.42 = 1,488.60/x
  3. Step 3: Cross multiply
    2,667.56x = 3,681.42 × 1,488.60
  4. Step 4: Simplify right side
    2,667.56x = 5,480,156.23
  5. Step 5: Solve for x
    x = 5,480,156.23/2,667.56
  6. Step 6: Final answer
    x = 2,054.37

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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.