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Finding the Fourth Proportional to 2,314, 3,470.98 and 582.64

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Solution

The fourth proportional to 2,314, 3,470.98 and 582.64 is: 873.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314 : 3,470.98 = 582.64 : x
  2. Step 2: Convert to fraction form
    2,314/3,470.98 = 582.64/x
  3. Step 3: Cross multiply
    2,314x = 3,470.98 × 582.64
  4. Step 4: Simplify right side
    2,314x = 2,022,331.79
  5. Step 5: Solve for x
    x = 2,022,331.79/2,314
  6. Step 6: Final answer
    x = 873.95

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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.