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Finding the Fourth Proportional to 1,813.50, 2,720.86 and 773.46

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Solution

The fourth proportional to 1,813.50, 2,720.86 and 773.46 is: 1,160.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,813.50 : 2,720.86 = 773.46 : x
  2. Step 2: Convert to fraction form
    1,813.50/2,720.86 = 773.46/x
  3. Step 3: Cross multiply
    1,813.50x = 2,720.86 × 773.46
  4. Step 4: Simplify right side
    1,813.50x = 2,104,476.38
  5. Step 5: Solve for x
    x = 2,104,476.38/1,813.50
  6. Step 6: Final answer
    x = 1,160.45

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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.