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Finding the Fourth Proportional to 1,672.34, 2,505.69 and 576.09

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Solution

The fourth proportional to 1,672.34, 2,505.69 and 576.09 is: 863.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,672.34 : 2,505.69 = 576.09 : x
  2. Step 2: Convert to fraction form
    1,672.34/2,505.69 = 576.09/x
  3. Step 3: Cross multiply
    1,672.34x = 2,505.69 × 576.09
  4. Step 4: Simplify right side
    1,672.34x = 1,443,502.95
  5. Step 5: Solve for x
    x = 1,443,502.95/1,672.34
  6. Step 6: Final answer
    x = 863.17

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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.