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Finding the Fourth Proportional to 1,927.33, 2,659.75 and 1,131.22

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Solution

The fourth proportional to 1,927.33, 2,659.75 and 1,131.22 is: 1,561.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,927.33 : 2,659.75 = 1,131.22 : x
  2. Step 2: Convert to fraction form
    1,927.33/2,659.75 = 1,131.22/x
  3. Step 3: Cross multiply
    1,927.33x = 2,659.75 × 1,131.22
  4. Step 4: Simplify right side
    1,927.33x = 3,008,762.89
  5. Step 5: Solve for x
    x = 3,008,762.89/1,927.33
  6. Step 6: Final answer
    x = 1,561.11

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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.