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Finding the Fourth Proportional to 1,846.85, 2,780.71 and 1,628.88

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Solution

The fourth proportional to 1,846.85, 2,780.71 and 1,628.88 is: 2,452.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,846.85 : 2,780.71 = 1,628.88 : x
  2. Step 2: Convert to fraction form
    1,846.85/2,780.71 = 1,628.88/x
  3. Step 3: Cross multiply
    1,846.85x = 2,780.71 × 1,628.88
  4. Step 4: Simplify right side
    1,846.85x = 4,529,438.83
  5. Step 5: Solve for x
    x = 4,529,438.83/1,846.85
  6. Step 6: Final answer
    x = 2,452.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.