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Finding the Fourth Proportional to 1,796.92, 2,690.36 and 972.23

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Solution

The fourth proportional to 1,796.92, 2,690.36 and 972.23 is: 1,455.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,796.92 : 2,690.36 = 972.23 : x
  2. Step 2: Convert to fraction form
    1,796.92/2,690.36 = 972.23/x
  3. Step 3: Cross multiply
    1,796.92x = 2,690.36 × 972.23
  4. Step 4: Simplify right side
    1,796.92x = 2,615,643.84
  5. Step 5: Solve for x
    x = 2,615,643.84/1,796.92
  6. Step 6: Final answer
    x = 1,455.63

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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.