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Finding the Fourth Proportional to 1,393.54, 2,078.02 and 1,381.05

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Solution

The fourth proportional to 1,393.54, 2,078.02 and 1,381.05 is: 2,059.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393.54 : 2,078.02 = 1,381.05 : x
  2. Step 2: Convert to fraction form
    1,393.54/2,078.02 = 1,381.05/x
  3. Step 3: Cross multiply
    1,393.54x = 2,078.02 × 1,381.05
  4. Step 4: Simplify right side
    1,393.54x = 2,869,842.58
  5. Step 5: Solve for x
    x = 2,869,842.58/1,393.54
  6. Step 6: Final answer
    x = 2,059.39

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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.