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Finding the Fourth Proportional to 2,063.24, 3,095.04 and 582.47

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Solution

The fourth proportional to 2,063.24, 3,095.04 and 582.47 is: 873.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,063.24 : 3,095.04 = 582.47 : x
  2. Step 2: Convert to fraction form
    2,063.24/3,095.04 = 582.47/x
  3. Step 3: Cross multiply
    2,063.24x = 3,095.04 × 582.47
  4. Step 4: Simplify right side
    2,063.24x = 1,802,762.99
  5. Step 5: Solve for x
    x = 1,802,762.99/2,063.24
  6. Step 6: Final answer
    x = 873.75

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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.