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Finding the Fourth Proportional to 2,014.84, 3,022.66 and 716.14

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Solution

The fourth proportional to 2,014.84, 3,022.66 and 716.14 is: 1,074.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.84 : 3,022.66 = 716.14 : x
  2. Step 2: Convert to fraction form
    2,014.84/3,022.66 = 716.14/x
  3. Step 3: Cross multiply
    2,014.84x = 3,022.66 × 716.14
  4. Step 4: Simplify right side
    2,014.84x = 2,164,647.73
  5. Step 5: Solve for x
    x = 2,164,647.73/2,014.84
  6. Step 6: Final answer
    x = 1,074.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.