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Finding the Fourth Proportional to 2,126.96, 2,936.05 and 1,596.00

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Solution

The fourth proportional to 2,126.96, 2,936.05 and 1,596.00 is: 2,203.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,126.96 : 2,936.05 = 1,596.00 : x
  2. Step 2: Convert to fraction form
    2,126.96/2,936.05 = 1,596.00/x
  3. Step 3: Cross multiply
    2,126.96x = 2,936.05 × 1,596.00
  4. Step 4: Simplify right side
    2,126.96x = 4,685,942.82
  5. Step 5: Solve for x
    x = 4,685,942.82/2,126.96
  6. Step 6: Final answer
    x = 2,203.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.