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Finding the Fourth Proportional to 2,705.38, 4,062.54 and 2,047.28

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Solution

The fourth proportional to 2,705.38, 4,062.54 and 2,047.28 is: 3,074.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705.38 : 4,062.54 = 2,047.28 : x
  2. Step 2: Convert to fraction form
    2,705.38/4,062.54 = 2,047.28/x
  3. Step 3: Cross multiply
    2,705.38x = 4,062.54 × 2,047.28
  4. Step 4: Simplify right side
    2,705.38x = 8,317,156.89
  5. Step 5: Solve for x
    x = 8,317,156.89/2,705.38
  6. Step 6: Final answer
    x = 3,074.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.