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Finding the Fourth Proportional to 1,813.54, 2,720.26 and 773.02

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Solution

The fourth proportional to 1,813.54, 2,720.26 and 773.02 is: 1,159.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,813.54 : 2,720.26 = 773.02 : x
  2. Step 2: Convert to fraction form
    1,813.54/2,720.26 = 773.02/x
  3. Step 3: Cross multiply
    1,813.54x = 2,720.26 × 773.02
  4. Step 4: Simplify right side
    1,813.54x = 2,102,809.93
  5. Step 5: Solve for x
    x = 2,102,809.93/1,813.54
  6. Step 6: Final answer
    x = 1,159.51

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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.