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Finding the Fourth Proportional to 2,896.24, 4,343.70 and 816.46

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Solution

The fourth proportional to 2,896.24, 4,343.70 and 816.46 is: 1,224.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.24 : 4,343.70 = 816.46 : x
  2. Step 2: Convert to fraction form
    2,896.24/4,343.70 = 816.46/x
  3. Step 3: Cross multiply
    2,896.24x = 4,343.70 × 816.46
  4. Step 4: Simplify right side
    2,896.24x = 3,546,457.30
  5. Step 5: Solve for x
    x = 3,546,457.30/2,896.24
  6. Step 6: Final answer
    x = 1,224.50

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1.5x scale

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.