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Finding the Fourth Proportional to 2,088, 3,132 and 1,972.56

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Solution

The fourth proportional to 2,088, 3,132 and 1,972.56 is: 2,958.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,088 : 3,132 = 1,972.56 : x
  2. Step 2: Convert to fraction form
    2,088/3,132 = 1,972.56/x
  3. Step 3: Cross multiply
    2,088x = 3,132 × 1,972.56
  4. Step 4: Simplify right side
    2,088x = 6,178,057.92
  5. Step 5: Solve for x
    x = 6,178,057.92/2,088
  6. Step 6: Final answer
    x = 2,958.84

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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.