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Finding the Fourth Proportional to 1,801.94, 2,707.77 and 1,023.13

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Solution

The fourth proportional to 1,801.94, 2,707.77 and 1,023.13 is: 1,537.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,801.94 : 2,707.77 = 1,023.13 : x
  2. Step 2: Convert to fraction form
    1,801.94/2,707.77 = 1,023.13/x
  3. Step 3: Cross multiply
    1,801.94x = 2,707.77 × 1,023.13
  4. Step 4: Simplify right side
    1,801.94x = 2,770,387.18
  5. Step 5: Solve for x
    x = 2,770,387.18/1,801.94
  6. Step 6: Final answer
    x = 1,537.45

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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.