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Finding the Fourth Proportional to 2,014.30, 3,019.58 and 781.46

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Solution

The fourth proportional to 2,014.30, 3,019.58 and 781.46 is: 1,171.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.30 : 3,019.58 = 781.46 : x
  2. Step 2: Convert to fraction form
    2,014.30/3,019.58 = 781.46/x
  3. Step 3: Cross multiply
    2,014.30x = 3,019.58 × 781.46
  4. Step 4: Simplify right side
    2,014.30x = 2,359,680.99
  5. Step 5: Solve for x
    x = 2,359,680.99/2,014.30
  6. Step 6: Final answer
    x = 1,171.46

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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.