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Finding the Fourth Proportional to 1,909.18, 2,861.25 and 922.29

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Solution

The fourth proportional to 1,909.18, 2,861.25 and 922.29 is: 1,382.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,909.18 : 2,861.25 = 922.29 : x
  2. Step 2: Convert to fraction form
    1,909.18/2,861.25 = 922.29/x
  3. Step 3: Cross multiply
    1,909.18x = 2,861.25 × 922.29
  4. Step 4: Simplify right side
    1,909.18x = 2,638,914.81
  5. Step 5: Solve for x
    x = 2,638,914.81/1,909.18
  6. Step 6: Final answer
    x = 1,382.23

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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.