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Finding the Fourth Proportional to 1,971.44, 2,957.76 and 817.28

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Solution

The fourth proportional to 1,971.44, 2,957.76 and 817.28 is: 1,226.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971.44 : 2,957.76 = 817.28 : x
  2. Step 2: Convert to fraction form
    1,971.44/2,957.76 = 817.28/x
  3. Step 3: Cross multiply
    1,971.44x = 2,957.76 × 817.28
  4. Step 4: Simplify right side
    1,971.44x = 2,417,318.09
  5. Step 5: Solve for x
    x = 2,417,318.09/1,971.44
  6. Step 6: Final answer
    x = 1,226.17

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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.