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Finding the Fourth Proportional to 1,617.18, 2,429.42 and 968.37

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Solution

The fourth proportional to 1,617.18, 2,429.42 and 968.37 is: 1,454.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,617.18 : 2,429.42 = 968.37 : x
  2. Step 2: Convert to fraction form
    1,617.18/2,429.42 = 968.37/x
  3. Step 3: Cross multiply
    1,617.18x = 2,429.42 × 968.37
  4. Step 4: Simplify right side
    1,617.18x = 2,352,572.60
  5. Step 5: Solve for x
    x = 2,352,572.60/1,617.18
  6. Step 6: Final answer
    x = 1,454.74

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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.