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Finding the Fourth Proportional to 1,801.31, 2,702.03 and 813.93

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Solution

The fourth proportional to 1,801.31, 2,702.03 and 813.93 is: 1,220.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,801.31 : 2,702.03 = 813.93 : x
  2. Step 2: Convert to fraction form
    1,801.31/2,702.03 = 813.93/x
  3. Step 3: Cross multiply
    1,801.31x = 2,702.03 × 813.93
  4. Step 4: Simplify right side
    1,801.31x = 2,199,259.21
  5. Step 5: Solve for x
    x = 2,199,259.21/1,801.31
  6. Step 6: Final answer
    x = 1,220.93

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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.