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Finding the Fourth Proportional to 3,267.32, 4,900.98 and 1,186.94

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Solution

The fourth proportional to 3,267.32, 4,900.98 and 1,186.94 is: 1,780.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,267.32 : 4,900.98 = 1,186.94 : x
  2. Step 2: Convert to fraction form
    3,267.32/4,900.98 = 1,186.94/x
  3. Step 3: Cross multiply
    3,267.32x = 4,900.98 × 1,186.94
  4. Step 4: Simplify right side
    3,267.32x = 5,817,167.53
  5. Step 5: Solve for x
    x = 5,817,167.53/3,267.32
  6. Step 6: Final answer
    x = 1,780.41

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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.