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Finding the Fourth Proportional to 1,416.15, 2,122.15 and 1,269.90

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Solution

The fourth proportional to 1,416.15, 2,122.15 and 1,269.90 is: 1,902.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.15 : 2,122.15 = 1,269.90 : x
  2. Step 2: Convert to fraction form
    1,416.15/2,122.15 = 1,269.90/x
  3. Step 3: Cross multiply
    1,416.15x = 2,122.15 × 1,269.90
  4. Step 4: Simplify right side
    1,416.15x = 2,694,918.29
  5. Step 5: Solve for x
    x = 2,694,918.29/1,416.15
  6. Step 6: Final answer
    x = 1,902.99

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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.