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Finding the Fourth Proportional to 1,931.28, 2,896.89 and 777

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Solution

The fourth proportional to 1,931.28, 2,896.89 and 777 is: 1,165.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,931.28 : 2,896.89 = 777 : x
  2. Step 2: Convert to fraction form
    1,931.28/2,896.89 = 777/x
  3. Step 3: Cross multiply
    1,931.28x = 2,896.89 × 777
  4. Step 4: Simplify right side
    1,931.28x = 2,250,883.53
  5. Step 5: Solve for x
    x = 2,250,883.53/1,931.28
  6. Step 6: Final answer
    x = 1,165.49

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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.