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Finding the Fourth Proportional to 2,096.37, 3,128.86 and 2,061.77

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Solution

The fourth proportional to 2,096.37, 3,128.86 and 2,061.77 is: 3,077.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.37 : 3,128.86 = 2,061.77 : x
  2. Step 2: Convert to fraction form
    2,096.37/3,128.86 = 2,061.77/x
  3. Step 3: Cross multiply
    2,096.37x = 3,128.86 × 2,061.77
  4. Step 4: Simplify right side
    2,096.37x = 6,450,994.21
  5. Step 5: Solve for x
    x = 6,450,994.21/2,096.37
  6. Step 6: Final answer
    x = 3,077.22

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.