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Finding the Fourth Proportional to 2,967.06, 4,447.08 and 1,017.66

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Solution

The fourth proportional to 2,967.06, 4,447.08 and 1,017.66 is: 1,525.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,967.06 : 4,447.08 = 1,017.66 : x
  2. Step 2: Convert to fraction form
    2,967.06/4,447.08 = 1,017.66/x
  3. Step 3: Cross multiply
    2,967.06x = 4,447.08 × 1,017.66
  4. Step 4: Simplify right side
    2,967.06x = 4,525,615.43
  5. Step 5: Solve for x
    x = 4,525,615.43/2,967.06
  6. Step 6: Final answer
    x = 1,525.29

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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.