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Finding the Fourth Proportional to 4,281.12, 6,422.20 and 1,648.01

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Solution

The fourth proportional to 4,281.12, 6,422.20 and 1,648.01 is: 2,472.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,281.12 : 6,422.20 = 1,648.01 : x
  2. Step 2: Convert to fraction form
    4,281.12/6,422.20 = 1,648.01/x
  3. Step 3: Cross multiply
    4,281.12x = 6,422.20 × 1,648.01
  4. Step 4: Simplify right side
    4,281.12x = 10,583,861.76
  5. Step 5: Solve for x
    x = 10,583,861.76/4,281.12
  6. Step 6: Final answer
    x = 2,472.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.