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Finding the Fourth Proportional to 3,094.23, 4,641.57 and 873.39

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Solution

The fourth proportional to 3,094.23, 4,641.57 and 873.39 is: 1,310.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,094.23 : 4,641.57 = 873.39 : x
  2. Step 2: Convert to fraction form
    3,094.23/4,641.57 = 873.39/x
  3. Step 3: Cross multiply
    3,094.23x = 4,641.57 × 873.39
  4. Step 4: Simplify right side
    3,094.23x = 4,053,900.82
  5. Step 5: Solve for x
    x = 4,053,900.82/3,094.23
  6. Step 6: Final answer
    x = 1,310.15

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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.