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Finding the Fourth Proportional to 1,955.09, 2,933.72 and 800.75

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Solution

The fourth proportional to 1,955.09, 2,933.72 and 800.75 is: 1,201.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,955.09 : 2,933.72 = 800.75 : x
  2. Step 2: Convert to fraction form
    1,955.09/2,933.72 = 800.75/x
  3. Step 3: Cross multiply
    1,955.09x = 2,933.72 × 800.75
  4. Step 4: Simplify right side
    1,955.09x = 2,349,172.29
  5. Step 5: Solve for x
    x = 2,349,172.29/1,955.09
  6. Step 6: Final answer
    x = 1,201.57

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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.