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Finding the Fourth Proportional to 2,726.97, 4,090.82 and 972.40

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Solution

The fourth proportional to 2,726.97, 4,090.82 and 972.40 is: 1,458.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,726.97 : 4,090.82 = 972.40 : x
  2. Step 2: Convert to fraction form
    2,726.97/4,090.82 = 972.40/x
  3. Step 3: Cross multiply
    2,726.97x = 4,090.82 × 972.40
  4. Step 4: Simplify right side
    2,726.97x = 3,977,913.37
  5. Step 5: Solve for x
    x = 3,977,913.37/2,726.97
  6. Step 6: Final answer
    x = 1,458.73

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