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Finding the Fourth Proportional to 1,782.74, 2,673.83 and 742.84

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Solution

The fourth proportional to 1,782.74, 2,673.83 and 742.84 is: 1,114.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.74 : 2,673.83 = 742.84 : x
  2. Step 2: Convert to fraction form
    1,782.74/2,673.83 = 742.84/x
  3. Step 3: Cross multiply
    1,782.74x = 2,673.83 × 742.84
  4. Step 4: Simplify right side
    1,782.74x = 1,986,223.05
  5. Step 5: Solve for x
    x = 1,986,223.05/1,782.74
  6. Step 6: Final answer
    x = 1,114.14

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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.