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Finding the Fourth Proportional to 2,275.74, 3,393.60 and 2,096.22

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Solution

The fourth proportional to 2,275.74, 3,393.60 and 2,096.22 is: 3,125.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.74 : 3,393.60 = 2,096.22 : x
  2. Step 2: Convert to fraction form
    2,275.74/3,393.60 = 2,096.22/x
  3. Step 3: Cross multiply
    2,275.74x = 3,393.60 × 2,096.22
  4. Step 4: Simplify right side
    2,275.74x = 7,113,732.19
  5. Step 5: Solve for x
    x = 7,113,732.19/2,275.74
  6. Step 6: Final answer
    x = 3,125.90

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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.