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Finding the Fourth Proportional to 1,451.46, 2,177.17 and 355.81

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Solution

The fourth proportional to 1,451.46, 2,177.17 and 355.81 is: 533.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,451.46 : 2,177.17 = 355.81 : x
  2. Step 2: Convert to fraction form
    1,451.46/2,177.17 = 355.81/x
  3. Step 3: Cross multiply
    1,451.46x = 2,177.17 × 355.81
  4. Step 4: Simplify right side
    1,451.46x = 774,658.86
  5. Step 5: Solve for x
    x = 774,658.86/1,451.46
  6. Step 6: Final answer
    x = 533.71

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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.