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Finding the Fourth Proportional to 2,174.04, 3,261.20 and 713.20

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Solution

The fourth proportional to 2,174.04, 3,261.20 and 713.20 is: 1,069.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.04 : 3,261.20 = 713.20 : x
  2. Step 2: Convert to fraction form
    2,174.04/3,261.20 = 713.20/x
  3. Step 3: Cross multiply
    2,174.04x = 3,261.20 × 713.20
  4. Step 4: Simplify right side
    2,174.04x = 2,325,887.84
  5. Step 5: Solve for x
    x = 2,325,887.84/2,174.04
  6. Step 6: Final answer
    x = 1,069.85

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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.