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Finding the Fourth Proportional to 1,814.90, 2,503.84 and 1,185.23

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Solution

The fourth proportional to 1,814.90, 2,503.84 and 1,185.23 is: 1,635.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,814.90 : 2,503.84 = 1,185.23 : x
  2. Step 2: Convert to fraction form
    1,814.90/2,503.84 = 1,185.23/x
  3. Step 3: Cross multiply
    1,814.90x = 2,503.84 × 1,185.23
  4. Step 4: Simplify right side
    1,814.90x = 2,967,626.28
  5. Step 5: Solve for x
    x = 2,967,626.28/1,814.90
  6. Step 6: Final answer
    x = 1,635.15

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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.