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Finding the Fourth Proportional to 3,104.45, 4,655.66 and 1,023.98

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Solution

The fourth proportional to 3,104.45, 4,655.66 and 1,023.98 is: 1,535.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,104.45 : 4,655.66 = 1,023.98 : x
  2. Step 2: Convert to fraction form
    3,104.45/4,655.66 = 1,023.98/x
  3. Step 3: Cross multiply
    3,104.45x = 4,655.66 × 1,023.98
  4. Step 4: Simplify right side
    3,104.45x = 4,767,274.33
  5. Step 5: Solve for x
    x = 4,767,274.33/3,104.45
  6. Step 6: Final answer
    x = 1,535.63

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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.