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Finding the Fourth Proportional to 1,852.70, 2,777.28 and 682.44

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Solution

The fourth proportional to 1,852.70, 2,777.28 and 682.44 is: 1,023.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,852.70 : 2,777.28 = 682.44 : x
  2. Step 2: Convert to fraction form
    1,852.70/2,777.28 = 682.44/x
  3. Step 3: Cross multiply
    1,852.70x = 2,777.28 × 682.44
  4. Step 4: Simplify right side
    1,852.70x = 1,895,326.96
  5. Step 5: Solve for x
    x = 1,895,326.96/1,852.70
  6. Step 6: Final answer
    x = 1,023.01

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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.