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Finding the Fourth Proportional to 6,970.40, 10,456.22 and 2,289.02

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Solution

The fourth proportional to 6,970.40, 10,456.22 and 2,289.02 is: 3,433.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,970.40 : 10,456.22 = 2,289.02 : x
  2. Step 2: Convert to fraction form
    6,970.40/10,456.22 = 2,289.02/x
  3. Step 3: Cross multiply
    6,970.40x = 10,456.22 × 2,289.02
  4. Step 4: Simplify right side
    6,970.40x = 23,934,496.70
  5. Step 5: Solve for x
    x = 23,934,496.70/6,970.40
  6. Step 6: Final answer
    x = 3,433.73

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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.