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Finding the Fourth Proportional to 1,814.96, 2,503.13 and 1,185.59

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Solution

The fourth proportional to 1,814.96, 2,503.13 and 1,185.59 is: 1,635.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,814.96 : 2,503.13 = 1,185.59 : x
  2. Step 2: Convert to fraction form
    1,814.96/2,503.13 = 1,185.59/x
  3. Step 3: Cross multiply
    1,814.96x = 2,503.13 × 1,185.59
  4. Step 4: Simplify right side
    1,814.96x = 2,967,667.45
  5. Step 5: Solve for x
    x = 2,967,667.45/1,814.96
  6. Step 6: Final answer
    x = 1,635.12

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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.