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Finding the Fourth Proportional to 3,267.95, 4,903.61 and 1,624.46

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Solution

The fourth proportional to 3,267.95, 4,903.61 and 1,624.46 is: 2,437.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,267.95 : 4,903.61 = 1,624.46 : x
  2. Step 2: Convert to fraction form
    3,267.95/4,903.61 = 1,624.46/x
  3. Step 3: Cross multiply
    3,267.95x = 4,903.61 × 1,624.46
  4. Step 4: Simplify right side
    3,267.95x = 7,965,685.66
  5. Step 5: Solve for x
    x = 7,965,685.66/3,267.95
  6. Step 6: Final answer
    x = 2,437.52

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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.