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Finding the Fourth Proportional to 2,830.65, 4,246.40 and 883

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Solution

The fourth proportional to 2,830.65, 4,246.40 and 883 is: 1,324.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,830.65 : 4,246.40 = 883 : x
  2. Step 2: Convert to fraction form
    2,830.65/4,246.40 = 883/x
  3. Step 3: Cross multiply
    2,830.65x = 4,246.40 × 883
  4. Step 4: Simplify right side
    2,830.65x = 3,749,571.20
  5. Step 5: Solve for x
    x = 3,749,571.20/2,830.65
  6. Step 6: Final answer
    x = 1,324.63

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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.