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Finding the Fourth Proportional to 2,903.22, 4,004.73 and 1,723.50

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Solution

The fourth proportional to 2,903.22, 4,004.73 and 1,723.50 is: 2,377.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,903.22 : 4,004.73 = 1,723.50 : x
  2. Step 2: Convert to fraction form
    2,903.22/4,004.73 = 1,723.50/x
  3. Step 3: Cross multiply
    2,903.22x = 4,004.73 × 1,723.50
  4. Step 4: Simplify right side
    2,903.22x = 6,902,152.16
  5. Step 5: Solve for x
    x = 6,902,152.16/2,903.22
  6. Step 6: Final answer
    x = 2,377.41

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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.