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Finding the Fourth Proportional to 2,896.28, 4,346.04 and 1,357.28

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Solution

The fourth proportional to 2,896.28, 4,346.04 and 1,357.28 is: 2,036.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.28 : 4,346.04 = 1,357.28 : x
  2. Step 2: Convert to fraction form
    2,896.28/4,346.04 = 1,357.28/x
  3. Step 3: Cross multiply
    2,896.28x = 4,346.04 × 1,357.28
  4. Step 4: Simplify right side
    2,896.28x = 5,898,793.17
  5. Step 5: Solve for x
    x = 5,898,793.17/2,896.28
  6. Step 6: Final answer
    x = 2,036.68

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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.