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Finding the Fourth Proportional to 2,036.68, 3,056.10 and 1,517.74

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Solution

The fourth proportional to 2,036.68, 3,056.10 and 1,517.74 is: 2,277.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,036.68 : 3,056.10 = 1,517.74 : x
  2. Step 2: Convert to fraction form
    2,036.68/3,056.10 = 1,517.74/x
  3. Step 3: Cross multiply
    2,036.68x = 3,056.10 × 1,517.74
  4. Step 4: Simplify right side
    2,036.68x = 4,638,365.21
  5. Step 5: Solve for x
    x = 4,638,365.21/2,036.68
  6. Step 6: Final answer
    x = 2,277.41

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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.