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Finding the Fourth Proportional to 3,089.50, 4,263.54 and 1,847.50

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Solution

The fourth proportional to 3,089.50, 4,263.54 and 1,847.50 is: 2,549.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,089.50 : 4,263.54 = 1,847.50 : x
  2. Step 2: Convert to fraction form
    3,089.50/4,263.54 = 1,847.50/x
  3. Step 3: Cross multiply
    3,089.50x = 4,263.54 × 1,847.50
  4. Step 4: Simplify right side
    3,089.50x = 7,876,890.15
  5. Step 5: Solve for x
    x = 7,876,890.15/3,089.50
  6. Step 6: Final answer
    x = 2,549.57

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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.