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Finding the Fourth Proportional to 2,056.92, 2,857.68 and 2,032.30

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Solution

The fourth proportional to 2,056.92, 2,857.68 and 2,032.30 is: 2,823.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,056.92 : 2,857.68 = 2,032.30 : x
  2. Step 2: Convert to fraction form
    2,056.92/2,857.68 = 2,032.30/x
  3. Step 3: Cross multiply
    2,056.92x = 2,857.68 × 2,032.30
  4. Step 4: Simplify right side
    2,056.92x = 5,807,663.06
  5. Step 5: Solve for x
    x = 5,807,663.06/2,056.92
  6. Step 6: Final answer
    x = 2,823.48

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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.