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Finding the Fourth Proportional to 1,802.35, 2,697.09 and 1,109.17

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Solution

The fourth proportional to 1,802.35, 2,697.09 and 1,109.17 is: 1,659.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,802.35 : 2,697.09 = 1,109.17 : x
  2. Step 2: Convert to fraction form
    1,802.35/2,697.09 = 1,109.17/x
  3. Step 3: Cross multiply
    1,802.35x = 2,697.09 × 1,109.17
  4. Step 4: Simplify right side
    1,802.35x = 2,991,531.32
  5. Step 5: Solve for x
    x = 2,991,531.32/1,802.35
  6. Step 6: Final answer
    x = 1,659.79

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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.