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Finding the Fourth Proportional to 4,182.50, 6,276.64 and 1,446.50

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Solution

The fourth proportional to 4,182.50, 6,276.64 and 1,446.50 is: 2,170.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,182.50 : 6,276.64 = 1,446.50 : x
  2. Step 2: Convert to fraction form
    4,182.50/6,276.64 = 1,446.50/x
  3. Step 3: Cross multiply
    4,182.50x = 6,276.64 × 1,446.50
  4. Step 4: Simplify right side
    4,182.50x = 9,079,159.76
  5. Step 5: Solve for x
    x = 9,079,159.76/4,182.50
  6. Step 6: Final answer
    x = 2,170.75

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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.