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Finding the Fourth Proportional to 1,927.17, 2,891.63 and 816.89

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Solution

The fourth proportional to 1,927.17, 2,891.63 and 816.89 is: 1,225.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,927.17 : 2,891.63 = 816.89 : x
  2. Step 2: Convert to fraction form
    1,927.17/2,891.63 = 816.89/x
  3. Step 3: Cross multiply
    1,927.17x = 2,891.63 × 816.89
  4. Step 4: Simplify right side
    1,927.17x = 2,362,143.63
  5. Step 5: Solve for x
    x = 2,362,143.63/1,927.17
  6. Step 6: Final answer
    x = 1,225.71

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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.