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Finding the Fourth Proportional to 2,969.85, 4,096.54 and 2,339.72

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Solution

The fourth proportional to 2,969.85, 4,096.54 and 2,339.72 is: 3,227.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.85 : 4,096.54 = 2,339.72 : x
  2. Step 2: Convert to fraction form
    2,969.85/4,096.54 = 2,339.72/x
  3. Step 3: Cross multiply
    2,969.85x = 4,096.54 × 2,339.72
  4. Step 4: Simplify right side
    2,969.85x = 9,584,756.57
  5. Step 5: Solve for x
    x = 9,584,756.57/2,969.85
  6. Step 6: Final answer
    x = 3,227.35

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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.