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Finding the Fourth Proportional to 2,064.52, 3,096.38 and 969.40

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Solution

The fourth proportional to 2,064.52, 3,096.38 and 969.40 is: 1,453.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064.52 : 3,096.38 = 969.40 : x
  2. Step 2: Convert to fraction form
    2,064.52/3,096.38 = 969.40/x
  3. Step 3: Cross multiply
    2,064.52x = 3,096.38 × 969.40
  4. Step 4: Simplify right side
    2,064.52x = 3,001,630.77
  5. Step 5: Solve for x
    x = 3,001,630.77/2,064.52
  6. Step 6: Final answer
    x = 1,453.91

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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.