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Finding the Fourth Proportional to 2,814.92, 3,888.29 and 2,159.87

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Solution

The fourth proportional to 2,814.92, 3,888.29 and 2,159.87 is: 2,983.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,814.92 : 3,888.29 = 2,159.87 : x
  2. Step 2: Convert to fraction form
    2,814.92/3,888.29 = 2,159.87/x
  3. Step 3: Cross multiply
    2,814.92x = 3,888.29 × 2,159.87
  4. Step 4: Simplify right side
    2,814.92x = 8,398,174.73
  5. Step 5: Solve for x
    x = 8,398,174.73/2,814.92
  6. Step 6: Final answer
    x = 2,983.45

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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.