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Finding the Fourth Proportional to 2,014.65, 3,022.28 and 715.81

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Solution

The fourth proportional to 2,014.65, 3,022.28 and 715.81 is: 1,073.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.65 : 3,022.28 = 715.81 : x
  2. Step 2: Convert to fraction form
    2,014.65/3,022.28 = 715.81/x
  3. Step 3: Cross multiply
    2,014.65x = 3,022.28 × 715.81
  4. Step 4: Simplify right side
    2,014.65x = 2,163,378.25
  5. Step 5: Solve for x
    x = 2,163,378.25/2,014.65
  6. Step 6: Final answer
    x = 1,073.82

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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.