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Finding the Fourth Proportional to 2,129.77, 2,938.25 and 1,571.58

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Solution

The fourth proportional to 2,129.77, 2,938.25 and 1,571.58 is: 2,168.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.77 : 2,938.25 = 1,571.58 : x
  2. Step 2: Convert to fraction form
    2,129.77/2,938.25 = 1,571.58/x
  3. Step 3: Cross multiply
    2,129.77x = 2,938.25 × 1,571.58
  4. Step 4: Simplify right side
    2,129.77x = 4,617,694.94
  5. Step 5: Solve for x
    x = 4,617,694.94/2,129.77
  6. Step 6: Final answer
    x = 2,168.17

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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.