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Finding the Fourth Proportional to 3,129.50, 4,693.46 and 1,280.27

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Solution

The fourth proportional to 3,129.50, 4,693.46 and 1,280.27 is: 1,920.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,129.50 : 4,693.46 = 1,280.27 : x
  2. Step 2: Convert to fraction form
    3,129.50/4,693.46 = 1,280.27/x
  3. Step 3: Cross multiply
    3,129.50x = 4,693.46 × 1,280.27
  4. Step 4: Simplify right side
    3,129.50x = 6,008,901.37
  5. Step 5: Solve for x
    x = 6,008,901.37/3,129.50
  6. Step 6: Final answer
    x = 1,920.08

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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.