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Finding the Fourth Proportional to 1,851.81, 2,777.72 and 741.73

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Solution

The fourth proportional to 1,851.81, 2,777.72 and 741.73 is: 1,112.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,851.81 : 2,777.72 = 741.73 : x
  2. Step 2: Convert to fraction form
    1,851.81/2,777.72 = 741.73/x
  3. Step 3: Cross multiply
    1,851.81x = 2,777.72 × 741.73
  4. Step 4: Simplify right side
    1,851.81x = 2,060,307.60
  5. Step 5: Solve for x
    x = 2,060,307.60/1,851.81
  6. Step 6: Final answer
    x = 1,112.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.