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Finding the Fourth Proportional to 1,801.91, 2,703.93 and 761.85

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Solution

The fourth proportional to 1,801.91, 2,703.93 and 761.85 is: 1,143.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,801.91 : 2,703.93 = 761.85 : x
  2. Step 2: Convert to fraction form
    1,801.91/2,703.93 = 761.85/x
  3. Step 3: Cross multiply
    1,801.91x = 2,703.93 × 761.85
  4. Step 4: Simplify right side
    1,801.91x = 2,059,985.26
  5. Step 5: Solve for x
    x = 2,059,985.26/1,801.91
  6. Step 6: Final answer
    x = 1,143.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.