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Finding the Fourth Proportional to 1,566.54, 2,336.13 and 1,336.86

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Solution

The fourth proportional to 1,566.54, 2,336.13 and 1,336.86 is: 1,993.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.54 : 2,336.13 = 1,336.86 : x
  2. Step 2: Convert to fraction form
    1,566.54/2,336.13 = 1,336.86/x
  3. Step 3: Cross multiply
    1,566.54x = 2,336.13 × 1,336.86
  4. Step 4: Simplify right side
    1,566.54x = 3,123,078.75
  5. Step 5: Solve for x
    x = 3,123,078.75/1,566.54
  6. Step 6: Final answer
    x = 1,993.62

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.