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Finding the Fourth Proportional to 1,290.17, 1,783.92 and 1,269.32

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Solution

The fourth proportional to 1,290.17, 1,783.92 and 1,269.32 is: 1,755.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.17 : 1,783.92 = 1,269.32 : x
  2. Step 2: Convert to fraction form
    1,290.17/1,783.92 = 1,269.32/x
  3. Step 3: Cross multiply
    1,290.17x = 1,783.92 × 1,269.32
  4. Step 4: Simplify right side
    1,290.17x = 2,264,365.33
  5. Step 5: Solve for x
    x = 2,264,365.33/1,290.17
  6. Step 6: Final answer
    x = 1,755.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.