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Finding the Fourth Proportional to 2,063.13, 3,094.63 and 582.45

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Solution

The fourth proportional to 2,063.13, 3,094.63 and 582.45 is: 873.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,063.13 : 3,094.63 = 582.45 : x
  2. Step 2: Convert to fraction form
    2,063.13/3,094.63 = 582.45/x
  3. Step 3: Cross multiply
    2,063.13x = 3,094.63 × 582.45
  4. Step 4: Simplify right side
    2,063.13x = 1,802,450.31
  5. Step 5: Solve for x
    x = 1,802,450.31/2,063.13
  6. Step 6: Final answer
    x = 873.65

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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.