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Finding the Fourth Proportional to 1,605.88, 2,214.89 and 1,109.35

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Solution

The fourth proportional to 1,605.88, 2,214.89 and 1,109.35 is: 1,530.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.88 : 2,214.89 = 1,109.35 : x
  2. Step 2: Convert to fraction form
    1,605.88/2,214.89 = 1,109.35/x
  3. Step 3: Cross multiply
    1,605.88x = 2,214.89 × 1,109.35
  4. Step 4: Simplify right side
    1,605.88x = 2,457,077.15
  5. Step 5: Solve for x
    x = 2,457,077.15/1,605.88
  6. Step 6: Final answer
    x = 1,530.06

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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.