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Finding the Fourth Proportional to 2,143.77, 2,957.92 and 1,357.37

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Solution

The fourth proportional to 2,143.77, 2,957.92 and 1,357.37 is: 1,872.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143.77 : 2,957.92 = 1,357.37 : x
  2. Step 2: Convert to fraction form
    2,143.77/2,957.92 = 1,357.37/x
  3. Step 3: Cross multiply
    2,143.77x = 2,957.92 × 1,357.37
  4. Step 4: Simplify right side
    2,143.77x = 4,014,973.69
  5. Step 5: Solve for x
    x = 4,014,973.69/2,143.77
  6. Step 6: Final answer
    x = 1,872.86

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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.