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Finding the Fourth Proportional to 2,896.78, 4,344.80 and 816.94

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Solution

The fourth proportional to 2,896.78, 4,344.80 and 816.94 is: 1,225.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.78 : 4,344.80 = 816.94 : x
  2. Step 2: Convert to fraction form
    2,896.78/4,344.80 = 816.94/x
  3. Step 3: Cross multiply
    2,896.78x = 4,344.80 × 816.94
  4. Step 4: Simplify right side
    2,896.78x = 3,549,440.91
  5. Step 5: Solve for x
    x = 3,549,440.91/2,896.78
  6. Step 6: Final answer
    x = 1,225.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.