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Finding the Fourth Proportional to 4,226.50, 6,342.63 and 1,490.50

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Solution

The fourth proportional to 4,226.50, 6,342.63 and 1,490.50 is: 2,236.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,226.50 : 6,342.63 = 1,490.50 : x
  2. Step 2: Convert to fraction form
    4,226.50/6,342.63 = 1,490.50/x
  3. Step 3: Cross multiply
    4,226.50x = 6,342.63 × 1,490.50
  4. Step 4: Simplify right side
    4,226.50x = 9,453,690.02
  5. Step 5: Solve for x
    x = 9,453,690.02/4,226.50
  6. Step 6: Final answer
    x = 2,236.77

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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.