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Finding the Fourth Proportional to 2,896, 4,345.94 and 1,072

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Solution

The fourth proportional to 2,896, 4,345.94 and 1,072 is: 1,608.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896 : 4,345.94 = 1,072 : x
  2. Step 2: Convert to fraction form
    2,896/4,345.94 = 1,072/x
  3. Step 3: Cross multiply
    2,896x = 4,345.94 × 1,072
  4. Step 4: Simplify right side
    2,896x = 4,658,847.68
  5. Step 5: Solve for x
    x = 4,658,847.68/2,896
  6. Step 6: Final answer
    x = 1,608.72

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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.