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Finding the Fourth Proportional to 2,429.25, 3,643.48 and 868.99

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Solution

The fourth proportional to 2,429.25, 3,643.48 and 868.99 is: 1,303.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,429.25 : 3,643.48 = 868.99 : x
  2. Step 2: Convert to fraction form
    2,429.25/3,643.48 = 868.99/x
  3. Step 3: Cross multiply
    2,429.25x = 3,643.48 × 868.99
  4. Step 4: Simplify right side
    2,429.25x = 3,166,129.47
  5. Step 5: Solve for x
    x = 3,166,129.47/2,429.25
  6. Step 6: Final answer
    x = 1,303.34

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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.