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Finding the Fourth Proportional to 1,927.58, 2,891.90 and 628.88

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Solution

The fourth proportional to 1,927.58, 2,891.90 and 628.88 is: 943.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,927.58 : 2,891.90 = 628.88 : x
  2. Step 2: Convert to fraction form
    1,927.58/2,891.90 = 628.88/x
  3. Step 3: Cross multiply
    1,927.58x = 2,891.90 × 628.88
  4. Step 4: Simplify right side
    1,927.58x = 1,818,658.07
  5. Step 5: Solve for x
    x = 1,818,658.07/1,927.58
  6. Step 6: Final answer
    x = 943.49

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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.