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Finding the Fourth Proportional to 2,256.72, 3,112.74 and 2,070.90

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Solution

The fourth proportional to 2,256.72, 3,112.74 and 2,070.90 is: 2,856.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,256.72 : 3,112.74 = 2,070.90 : x
  2. Step 2: Convert to fraction form
    2,256.72/3,112.74 = 2,070.90/x
  3. Step 3: Cross multiply
    2,256.72x = 3,112.74 × 2,070.90
  4. Step 4: Simplify right side
    2,256.72x = 6,446,173.27
  5. Step 5: Solve for x
    x = 6,446,173.27/2,256.72
  6. Step 6: Final answer
    x = 2,856.43

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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.