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Finding the Fourth Proportional to 1,336.96, 1,996.40 and 1,059.94

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Solution

The fourth proportional to 1,336.96, 1,996.40 and 1,059.94 is: 1,582.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,336.96 : 1,996.40 = 1,059.94 : x
  2. Step 2: Convert to fraction form
    1,336.96/1,996.40 = 1,059.94/x
  3. Step 3: Cross multiply
    1,336.96x = 1,996.40 × 1,059.94
  4. Step 4: Simplify right side
    1,336.96x = 2,116,064.22
  5. Step 5: Solve for x
    x = 2,116,064.22/1,336.96
  6. Step 6: Final answer
    x = 1,582.74

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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.