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Finding the Fourth Proportional to 1,446.93, 1,996.25 and 1,307.25

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Solution

The fourth proportional to 1,446.93, 1,996.25 and 1,307.25 is: 1,803.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,446.93 : 1,996.25 = 1,307.25 : x
  2. Step 2: Convert to fraction form
    1,446.93/1,996.25 = 1,307.25/x
  3. Step 3: Cross multiply
    1,446.93x = 1,996.25 × 1,307.25
  4. Step 4: Simplify right side
    1,446.93x = 2,609,591.28
  5. Step 5: Solve for x
    x = 2,609,591.28/1,446.93
  6. Step 6: Final answer
    x = 1,803.54

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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.