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Finding the Fourth Proportional to 2,313.40, 3,469.94 and 582.04

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Solution

The fourth proportional to 2,313.40, 3,469.94 and 582.04 is: 873.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,313.40 : 3,469.94 = 582.04 : x
  2. Step 2: Convert to fraction form
    2,313.40/3,469.94 = 582.04/x
  3. Step 3: Cross multiply
    2,313.40x = 3,469.94 × 582.04
  4. Step 4: Simplify right side
    2,313.40x = 2,019,643.88
  5. Step 5: Solve for x
    x = 2,019,643.88/2,313.40
  6. Step 6: Final answer
    x = 873.02

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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.