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Finding the Fourth Proportional to 2,134.59, 2,957.13 and 2,083.56

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Solution

The fourth proportional to 2,134.59, 2,957.13 and 2,083.56 is: 2,886.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.59 : 2,957.13 = 2,083.56 : x
  2. Step 2: Convert to fraction form
    2,134.59/2,957.13 = 2,083.56/x
  3. Step 3: Cross multiply
    2,134.59x = 2,957.13 × 2,083.56
  4. Step 4: Simplify right side
    2,134.59x = 6,161,357.78
  5. Step 5: Solve for x
    x = 6,161,357.78/2,134.59
  6. Step 6: Final answer
    x = 2,886.44

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.