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Finding the Fourth Proportional to 4,282.70, 6,420.14 and 1,648.52

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Solution

The fourth proportional to 4,282.70, 6,420.14 and 1,648.52 is: 2,471.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,282.70 : 6,420.14 = 1,648.52 : x
  2. Step 2: Convert to fraction form
    4,282.70/6,420.14 = 1,648.52/x
  3. Step 3: Cross multiply
    4,282.70x = 6,420.14 × 1,648.52
  4. Step 4: Simplify right side
    4,282.70x = 10,583,697.09
  5. Step 5: Solve for x
    x = 10,583,697.09/4,282.70
  6. Step 6: Final answer
    x = 2,471.27

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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.