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Finding the Fourth Proportional to 1,317.67, 1,817.54 and 1,109.09

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Solution

The fourth proportional to 1,317.67, 1,817.54 and 1,109.09 is: 1,529.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.67 : 1,817.54 = 1,109.09 : x
  2. Step 2: Convert to fraction form
    1,317.67/1,817.54 = 1,109.09/x
  3. Step 3: Cross multiply
    1,317.67x = 1,817.54 × 1,109.09
  4. Step 4: Simplify right side
    1,317.67x = 2,015,818.60
  5. Step 5: Solve for x
    x = 2,015,818.60/1,317.67
  6. Step 6: Final answer
    x = 1,529.84

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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.