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Finding the Fourth Proportional to 1,963.81, 2,945.72 and 808.93

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Solution

The fourth proportional to 1,963.81, 2,945.72 and 808.93 is: 1,213.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,963.81 : 2,945.72 = 808.93 : x
  2. Step 2: Convert to fraction form
    1,963.81/2,945.72 = 808.93/x
  3. Step 3: Cross multiply
    1,963.81x = 2,945.72 × 808.93
  4. Step 4: Simplify right side
    1,963.81x = 2,382,877.23
  5. Step 5: Solve for x
    x = 2,382,877.23/1,963.81
  6. Step 6: Final answer
    x = 1,213.40

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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.