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Finding the Fourth Proportional to 1,451.94, 2,178.03 and 411.95

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Solution

The fourth proportional to 1,451.94, 2,178.03 and 411.95 is: 617.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,451.94 : 2,178.03 = 411.95 : x
  2. Step 2: Convert to fraction form
    1,451.94/2,178.03 = 411.95/x
  3. Step 3: Cross multiply
    1,451.94x = 2,178.03 × 411.95
  4. Step 4: Simplify right side
    1,451.94x = 897,239.46
  5. Step 5: Solve for x
    x = 897,239.46/1,451.94
  6. Step 6: Final answer
    x = 617.96

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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.