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Finding the Fourth Proportional to 2,014.74, 3,022.25 and 781.92

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Solution

The fourth proportional to 2,014.74, 3,022.25 and 781.92 is: 1,172.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.74 : 3,022.25 = 781.92 : x
  2. Step 2: Convert to fraction form
    2,014.74/3,022.25 = 781.92/x
  3. Step 3: Cross multiply
    2,014.74x = 3,022.25 × 781.92
  4. Step 4: Simplify right side
    2,014.74x = 2,363,153.81
  5. Step 5: Solve for x
    x = 2,363,153.81/2,014.74
  6. Step 6: Final answer
    x = 1,172.93

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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.