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Finding the Fourth Proportional to 1,359.08, 2,037.94 and 968.86

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Solution

The fourth proportional to 1,359.08, 2,037.94 and 968.86 is: 1,452.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,359.08 : 2,037.94 = 968.86 : x
  2. Step 2: Convert to fraction form
    1,359.08/2,037.94 = 968.86/x
  3. Step 3: Cross multiply
    1,359.08x = 2,037.94 × 968.86
  4. Step 4: Simplify right side
    1,359.08x = 1,974,478.55
  5. Step 5: Solve for x
    x = 1,974,478.55/1,359.08
  6. Step 6: Final answer
    x = 1,452.81

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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.