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Finding the Fourth Proportional to 2,429.55, 3,643.23 and 697.77

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Solution

The fourth proportional to 2,429.55, 3,643.23 and 697.77 is: 1,046.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,429.55 : 3,643.23 = 697.77 : x
  2. Step 2: Convert to fraction form
    2,429.55/3,643.23 = 697.77/x
  3. Step 3: Cross multiply
    2,429.55x = 3,643.23 × 697.77
  4. Step 4: Simplify right side
    2,429.55x = 2,542,136.60
  5. Step 5: Solve for x
    x = 2,542,136.60/2,429.55
  6. Step 6: Final answer
    x = 1,046.34

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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.