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Finding the Fourth Proportional to 2,517.81, 3,775.59 and 1,347.63

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Solution

The fourth proportional to 2,517.81, 3,775.59 and 1,347.63 is: 2,020.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,517.81 : 3,775.59 = 1,347.63 : x
  2. Step 2: Convert to fraction form
    2,517.81/3,775.59 = 1,347.63/x
  3. Step 3: Cross multiply
    2,517.81x = 3,775.59 × 1,347.63
  4. Step 4: Simplify right side
    2,517.81x = 5,088,098.35
  5. Step 5: Solve for x
    x = 5,088,098.35/2,517.81
  6. Step 6: Final answer
    x = 2,020.84

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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.