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Finding the Fourth Proportional to 3,265.59, 4,899.60 and 1,533

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Solution

The fourth proportional to 3,265.59, 4,899.60 and 1,533 is: 2,300.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,265.59 : 4,899.60 = 1,533 : x
  2. Step 2: Convert to fraction form
    3,265.59/4,899.60 = 1,533/x
  3. Step 3: Cross multiply
    3,265.59x = 4,899.60 × 1,533
  4. Step 4: Simplify right side
    3,265.59x = 7,511,086.80
  5. Step 5: Solve for x
    x = 7,511,086.80/3,265.59
  6. Step 6: Final answer
    x = 2,300.07

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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.