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Finding the Fourth Proportional to 2,655.93, 3,984.27 and 901.09

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Solution

The fourth proportional to 2,655.93, 3,984.27 and 901.09 is: 1,351.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,655.93 : 3,984.27 = 901.09 : x
  2. Step 2: Convert to fraction form
    2,655.93/3,984.27 = 901.09/x
  3. Step 3: Cross multiply
    2,655.93x = 3,984.27 × 901.09
  4. Step 4: Simplify right side
    2,655.93x = 3,590,165.93
  5. Step 5: Solve for x
    x = 3,590,165.93/2,655.93
  6. Step 6: Final answer
    x = 1,351.76

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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.