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Finding the Fourth Proportional to 1,310.09, 1,967.99 and 1,266.35

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Solution

The fourth proportional to 1,310.09, 1,967.99 and 1,266.35 is: 1,902.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.09 : 1,967.99 = 1,266.35 : x
  2. Step 2: Convert to fraction form
    1,310.09/1,967.99 = 1,266.35/x
  3. Step 3: Cross multiply
    1,310.09x = 1,967.99 × 1,266.35
  4. Step 4: Simplify right side
    1,310.09x = 2,492,147.96
  5. Step 5: Solve for x
    x = 2,492,147.96/1,310.09
  6. Step 6: Final answer
    x = 1,902.28

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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.