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Finding the Fourth Proportional to 1,971, 2,956.50 and 816.78

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Solution

The fourth proportional to 1,971, 2,956.50 and 816.78 is: 1,225.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971 : 2,956.50 = 816.78 : x
  2. Step 2: Convert to fraction form
    1,971/2,956.50 = 816.78/x
  3. Step 3: Cross multiply
    1,971x = 2,956.50 × 816.78
  4. Step 4: Simplify right side
    1,971x = 2,414,810.07
  5. Step 5: Solve for x
    x = 2,414,810.07/1,971
  6. Step 6: Final answer
    x = 1,225.17

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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.