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Finding the Fourth Proportional to 2,014.56, 3,019.68 and 715.14

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Solution

The fourth proportional to 2,014.56, 3,019.68 and 715.14 is: 1,071.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.56 : 3,019.68 = 715.14 : x
  2. Step 2: Convert to fraction form
    2,014.56/3,019.68 = 715.14/x
  3. Step 3: Cross multiply
    2,014.56x = 3,019.68 × 715.14
  4. Step 4: Simplify right side
    2,014.56x = 2,159,493.96
  5. Step 5: Solve for x
    x = 2,159,493.96/2,014.56
  6. Step 6: Final answer
    x = 1,071.94

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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.