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Finding the Fourth Proportional to 1,897.82, 2,846.62 and 511.20

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Solution

The fourth proportional to 1,897.82, 2,846.62 and 511.20 is: 766.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,897.82 : 2,846.62 = 511.20 : x
  2. Step 2: Convert to fraction form
    1,897.82/2,846.62 = 511.20/x
  3. Step 3: Cross multiply
    1,897.82x = 2,846.62 × 511.20
  4. Step 4: Simplify right side
    1,897.82x = 1,455,192.14
  5. Step 5: Solve for x
    x = 1,455,192.14/1,897.82
  6. Step 6: Final answer
    x = 766.77

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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.