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Finding the Fourth Proportional to 2,078.56, 2,866.18 and 2,047.92

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Solution

The fourth proportional to 2,078.56, 2,866.18 and 2,047.92 is: 2,823.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.56 : 2,866.18 = 2,047.92 : x
  2. Step 2: Convert to fraction form
    2,078.56/2,866.18 = 2,047.92/x
  3. Step 3: Cross multiply
    2,078.56x = 2,866.18 × 2,047.92
  4. Step 4: Simplify right side
    2,078.56x = 5,869,707.35
  5. Step 5: Solve for x
    x = 5,869,707.35/2,078.56
  6. Step 6: Final answer
    x = 2,823.93

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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.