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Finding the Fourth Proportional to 2,129.58, 2,936.76 and 1,383.74

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Solution

The fourth proportional to 2,129.58, 2,936.76 and 1,383.74 is: 1,908.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.58 : 2,936.76 = 1,383.74 : x
  2. Step 2: Convert to fraction form
    2,129.58/2,936.76 = 1,383.74/x
  3. Step 3: Cross multiply
    2,129.58x = 2,936.76 × 1,383.74
  4. Step 4: Simplify right side
    2,129.58x = 4,063,712.28
  5. Step 5: Solve for x
    x = 4,063,712.28/2,129.58
  6. Step 6: Final answer
    x = 1,908.22

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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.