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Finding the Fourth Proportional to 3,265.82, 4,899.45 and 1,533.50

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Solution

The fourth proportional to 3,265.82, 4,899.45 and 1,533.50 is: 2,300.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,265.82 : 4,899.45 = 1,533.50 : x
  2. Step 2: Convert to fraction form
    3,265.82/4,899.45 = 1,533.50/x
  3. Step 3: Cross multiply
    3,265.82x = 4,899.45 × 1,533.50
  4. Step 4: Simplify right side
    3,265.82x = 7,513,306.58
  5. Step 5: Solve for x
    x = 7,513,306.58/3,265.82
  6. Step 6: Final answer
    x = 2,300.59

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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.