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Finding the Fourth Proportional to 2,174.52, 3,261.90 and 1,655.34

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Solution

The fourth proportional to 2,174.52, 3,261.90 and 1,655.34 is: 2,483.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.52 : 3,261.90 = 1,655.34 : x
  2. Step 2: Convert to fraction form
    2,174.52/3,261.90 = 1,655.34/x
  3. Step 3: Cross multiply
    2,174.52x = 3,261.90 × 1,655.34
  4. Step 4: Simplify right side
    2,174.52x = 5,399,533.55
  5. Step 5: Solve for x
    x = 5,399,533.55/2,174.52
  6. Step 6: Final answer
    x = 2,483.09

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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.