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Finding the Fourth Proportional to 1,734.31, 2,601.56 and 435.79

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Solution

The fourth proportional to 1,734.31, 2,601.56 and 435.79 is: 653.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,734.31 : 2,601.56 = 435.79 : x
  2. Step 2: Convert to fraction form
    1,734.31/2,601.56 = 435.79/x
  3. Step 3: Cross multiply
    1,734.31x = 2,601.56 × 435.79
  4. Step 4: Simplify right side
    1,734.31x = 1,133,733.83
  5. Step 5: Solve for x
    x = 1,133,733.83/1,734.31
  6. Step 6: Final answer
    x = 653.71

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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.