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Finding the Fourth Proportional to 1,447.97, 2,171.95 and 1,017.05

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Solution

The fourth proportional to 1,447.97, 2,171.95 and 1,017.05 is: 1,525.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.97 : 2,171.95 = 1,017.05 : x
  2. Step 2: Convert to fraction form
    1,447.97/2,171.95 = 1,017.05/x
  3. Step 3: Cross multiply
    1,447.97x = 2,171.95 × 1,017.05
  4. Step 4: Simplify right side
    1,447.97x = 2,208,973.78
  5. Step 5: Solve for x
    x = 2,208,973.78/1,447.97
  6. Step 6: Final answer
    x = 1,525.57

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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.