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Finding the Fourth Proportional to 2,896.93, 4,346.07 and 1,581.94

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Solution

The fourth proportional to 2,896.93, 4,346.07 and 1,581.94 is: 2,373.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.93 : 4,346.07 = 1,581.94 : x
  2. Step 2: Convert to fraction form
    2,896.93/4,346.07 = 1,581.94/x
  3. Step 3: Cross multiply
    2,896.93x = 4,346.07 × 1,581.94
  4. Step 4: Simplify right side
    2,896.93x = 6,875,221.98
  5. Step 5: Solve for x
    x = 6,875,221.98/2,896.93
  6. Step 6: Final answer
    x = 2,373.28

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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.