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Finding the Fourth Proportional to 1,336.57, 1,845.30 and 1,002.31

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Solution

The fourth proportional to 1,336.57, 1,845.30 and 1,002.31 is: 1,383.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,336.57 : 1,845.30 = 1,002.31 : x
  2. Step 2: Convert to fraction form
    1,336.57/1,845.30 = 1,002.31/x
  3. Step 3: Cross multiply
    1,336.57x = 1,845.30 × 1,002.31
  4. Step 4: Simplify right side
    1,336.57x = 1,849,562.64
  5. Step 5: Solve for x
    x = 1,849,562.64/1,336.57
  6. Step 6: Final answer
    x = 1,383.81

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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.