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Finding the Fourth Proportional to 2,672.34, 4,008.17 and 823.46

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Solution

The fourth proportional to 2,672.34, 4,008.17 and 823.46 is: 1,235.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,672.34 : 4,008.17 = 823.46 : x
  2. Step 2: Convert to fraction form
    2,672.34/4,008.17 = 823.46/x
  3. Step 3: Cross multiply
    2,672.34x = 4,008.17 × 823.46
  4. Step 4: Simplify right side
    2,672.34x = 3,300,543.51
  5. Step 5: Solve for x
    x = 3,300,543.51/2,672.34
  6. Step 6: Final answer
    x = 1,235.08

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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.