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Finding the Fourth Proportional to 3,263.52, 4,896.90 and 1,620

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Solution

The fourth proportional to 3,263.52, 4,896.90 and 1,620 is: 2,430.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,263.52 : 4,896.90 = 1,620 : x
  2. Step 2: Convert to fraction form
    3,263.52/4,896.90 = 1,620/x
  3. Step 3: Cross multiply
    3,263.52x = 4,896.90 × 1,620
  4. Step 4: Simplify right side
    3,263.52x = 7,932,978.00
  5. Step 5: Solve for x
    x = 7,932,978.00/3,263.52
  6. Step 6: Final answer
    x = 2,430.80

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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.