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Finding the Fourth Proportional to 1,897.97, 2,846.74 and 511.44

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Solution

The fourth proportional to 1,897.97, 2,846.74 and 511.44 is: 767.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,897.97 : 2,846.74 = 511.44 : x
  2. Step 2: Convert to fraction form
    1,897.97/2,846.74 = 511.44/x
  3. Step 3: Cross multiply
    1,897.97x = 2,846.74 × 511.44
  4. Step 4: Simplify right side
    1,897.97x = 1,455,932.28
  5. Step 5: Solve for x
    x = 1,455,932.28/1,897.97
  6. Step 6: Final answer
    x = 767.10

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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.