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Finding the Fourth Proportional to 2,681.78, 4,015.76 and 1,754.60

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Solution

The fourth proportional to 2,681.78, 4,015.76 and 1,754.60 is: 2,627.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,681.78 : 4,015.76 = 1,754.60 : x
  2. Step 2: Convert to fraction form
    2,681.78/4,015.76 = 1,754.60/x
  3. Step 3: Cross multiply
    2,681.78x = 4,015.76 × 1,754.60
  4. Step 4: Simplify right side
    2,681.78x = 7,046,023.64
  5. Step 5: Solve for x
    x = 7,046,023.64/2,681.78
  6. Step 6: Final answer
    x = 2,627.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.