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Finding the Fourth Proportional to 3,199.61, 4,801.08 and 1,535.63

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Solution

The fourth proportional to 3,199.61, 4,801.08 and 1,535.63 is: 2,304.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,199.61 : 4,801.08 = 1,535.63 : x
  2. Step 2: Convert to fraction form
    3,199.61/4,801.08 = 1,535.63/x
  3. Step 3: Cross multiply
    3,199.61x = 4,801.08 × 1,535.63
  4. Step 4: Simplify right side
    3,199.61x = 7,372,658.48
  5. Step 5: Solve for x
    x = 7,372,658.48/3,199.61
  6. Step 6: Final answer
    x = 2,304.24

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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.