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Finding the Fourth Proportional to 1,801.10, 2,702.71 and 761.03

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Solution

The fourth proportional to 1,801.10, 2,702.71 and 761.03 is: 1,141.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,801.10 : 2,702.71 = 761.03 : x
  2. Step 2: Convert to fraction form
    1,801.10/2,702.71 = 761.03/x
  3. Step 3: Cross multiply
    1,801.10x = 2,702.71 × 761.03
  4. Step 4: Simplify right side
    1,801.10x = 2,056,839.59
  5. Step 5: Solve for x
    x = 2,056,839.59/1,801.10
  6. Step 6: Final answer
    x = 1,141.99

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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.