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Finding the Fourth Proportional to 3,089.89, 4,263.41 and 1,764.02

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Solution

The fourth proportional to 3,089.89, 4,263.41 and 1,764.02 is: 2,433.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,089.89 : 4,263.41 = 1,764.02 : x
  2. Step 2: Convert to fraction form
    3,089.89/4,263.41 = 1,764.02/x
  3. Step 3: Cross multiply
    3,089.89x = 4,263.41 × 1,764.02
  4. Step 4: Simplify right side
    3,089.89x = 7,520,742.35
  5. Step 5: Solve for x
    x = 7,520,742.35/3,089.89
  6. Step 6: Final answer
    x = 2,433.99

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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.