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Finding the Fourth Proportional to 1,451.79, 2,177.67 and 356.15

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Solution

The fourth proportional to 1,451.79, 2,177.67 and 356.15 is: 534.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,451.79 : 2,177.67 = 356.15 : x
  2. Step 2: Convert to fraction form
    1,451.79/2,177.67 = 356.15/x
  3. Step 3: Cross multiply
    1,451.79x = 2,177.67 × 356.15
  4. Step 4: Simplify right side
    1,451.79x = 775,566.28
  5. Step 5: Solve for x
    x = 775,566.28/1,451.79
  6. Step 6: Final answer
    x = 534.21

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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.