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Finding the Fourth Proportional to 2,269.69, 3,406.05 and 971.26

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Solution

The fourth proportional to 2,269.69, 3,406.05 and 971.26 is: 1,457.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269.69 : 3,406.05 = 971.26 : x
  2. Step 2: Convert to fraction form
    2,269.69/3,406.05 = 971.26/x
  3. Step 3: Cross multiply
    2,269.69x = 3,406.05 × 971.26
  4. Step 4: Simplify right side
    2,269.69x = 3,308,151.61
  5. Step 5: Solve for x
    x = 3,308,151.61/2,269.69
  6. Step 6: Final answer
    x = 1,457.54

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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.