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Finding the Fourth Proportional to 1,954.77, 2,932.44 and 568.11

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Solution

The fourth proportional to 1,954.77, 2,932.44 and 568.11 is: 852.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,954.77 : 2,932.44 = 568.11 : x
  2. Step 2: Convert to fraction form
    1,954.77/2,932.44 = 568.11/x
  3. Step 3: Cross multiply
    1,954.77x = 2,932.44 × 568.11
  4. Step 4: Simplify right side
    1,954.77x = 1,665,957.35
  5. Step 5: Solve for x
    x = 1,665,957.35/1,954.77
  6. Step 6: Final answer
    x = 852.25

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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.