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Finding the Fourth Proportional to 1,558.34, 2,150.40 and 968.86

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Solution

The fourth proportional to 1,558.34, 2,150.40 and 968.86 is: 1,336.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,558.34 : 2,150.40 = 968.86 : x
  2. Step 2: Convert to fraction form
    1,558.34/2,150.40 = 968.86/x
  3. Step 3: Cross multiply
    1,558.34x = 2,150.40 × 968.86
  4. Step 4: Simplify right side
    1,558.34x = 2,083,436.54
  5. Step 5: Solve for x
    x = 2,083,436.54/1,558.34
  6. Step 6: Final answer
    x = 1,336.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.