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Finding the Fourth Proportional to 1,845.47, 2,546.75 and 1,017.47

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Solution

The fourth proportional to 1,845.47, 2,546.75 and 1,017.47 is: 1,404.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,845.47 : 2,546.75 = 1,017.47 : x
  2. Step 2: Convert to fraction form
    1,845.47/2,546.75 = 1,017.47/x
  3. Step 3: Cross multiply
    1,845.47x = 2,546.75 × 1,017.47
  4. Step 4: Simplify right side
    1,845.47x = 2,591,241.72
  5. Step 5: Solve for x
    x = 2,591,241.72/1,845.47
  6. Step 6: Final answer
    x = 1,404.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.