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Finding the Fourth Proportional to 2,014.60, 3,016.74 and 1,193.47

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Solution

The fourth proportional to 2,014.60, 3,016.74 and 1,193.47 is: 1,787.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.60 : 3,016.74 = 1,193.47 : x
  2. Step 2: Convert to fraction form
    2,014.60/3,016.74 = 1,193.47/x
  3. Step 3: Cross multiply
    2,014.60x = 3,016.74 × 1,193.47
  4. Step 4: Simplify right side
    2,014.60x = 3,600,373.60
  5. Step 5: Solve for x
    x = 3,600,373.60/2,014.60
  6. Step 6: Final answer
    x = 1,787.15

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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.