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Finding the Fourth Proportional to 1,447.44, 2,165.74 and 860.30

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Solution

The fourth proportional to 1,447.44, 2,165.74 and 860.30 is: 1,287.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.44 : 2,165.74 = 860.30 : x
  2. Step 2: Convert to fraction form
    1,447.44/2,165.74 = 860.30/x
  3. Step 3: Cross multiply
    1,447.44x = 2,165.74 × 860.30
  4. Step 4: Simplify right side
    1,447.44x = 1,863,186.12
  5. Step 5: Solve for x
    x = 1,863,186.12/1,447.44
  6. Step 6: Final answer
    x = 1,287.23

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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.