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Finding the Fourth Proportional to 3,228.35, 4,844.13 and 1,280.51

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Solution

The fourth proportional to 3,228.35, 4,844.13 and 1,280.51 is: 1,921.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,228.35 : 4,844.13 = 1,280.51 : x
  2. Step 2: Convert to fraction form
    3,228.35/4,844.13 = 1,280.51/x
  3. Step 3: Cross multiply
    3,228.35x = 4,844.13 × 1,280.51
  4. Step 4: Simplify right side
    3,228.35x = 6,202,950.50
  5. Step 5: Solve for x
    x = 6,202,950.50/3,228.35
  6. Step 6: Final answer
    x = 1,921.40

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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.