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Finding the Fourth Proportional to 1,971.97, 2,957.72 and 511.01

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Solution

The fourth proportional to 1,971.97, 2,957.72 and 511.01 is: 766.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971.97 : 2,957.72 = 511.01 : x
  2. Step 2: Convert to fraction form
    1,971.97/2,957.72 = 511.01/x
  3. Step 3: Cross multiply
    1,971.97x = 2,957.72 × 511.01
  4. Step 4: Simplify right side
    1,971.97x = 1,511,410.99
  5. Step 5: Solve for x
    x = 1,511,410.99/1,971.97
  6. Step 6: Final answer
    x = 766.45

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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.