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Finding the Fourth Proportional to 3,267.46, 4,894.71 and 1,537.30

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Solution

The fourth proportional to 3,267.46, 4,894.71 and 1,537.30 is: 2,302.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,267.46 : 4,894.71 = 1,537.30 : x
  2. Step 2: Convert to fraction form
    3,267.46/4,894.71 = 1,537.30/x
  3. Step 3: Cross multiply
    3,267.46x = 4,894.71 × 1,537.30
  4. Step 4: Simplify right side
    3,267.46x = 7,524,637.68
  5. Step 5: Solve for x
    x = 7,524,637.68/3,267.46
  6. Step 6: Final answer
    x = 2,302.90

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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.