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Finding the Fourth Proportional to 2,952.45, 4,072.27 and 1,903.50

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Solution

The fourth proportional to 2,952.45, 4,072.27 and 1,903.50 is: 2,625.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,952.45 : 4,072.27 = 1,903.50 : x
  2. Step 2: Convert to fraction form
    2,952.45/4,072.27 = 1,903.50/x
  3. Step 3: Cross multiply
    2,952.45x = 4,072.27 × 1,903.50
  4. Step 4: Simplify right side
    2,952.45x = 7,751,565.95
  5. Step 5: Solve for x
    x = 7,751,565.95/2,952.45
  6. Step 6: Final answer
    x = 2,625.47

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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.