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Finding the Fourth Proportional to 2,762.40, 3,814.94 and 2,367.12

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Solution

The fourth proportional to 2,762.40, 3,814.94 and 2,367.12 is: 3,269.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.40 : 3,814.94 = 2,367.12 : x
  2. Step 2: Convert to fraction form
    2,762.40/3,814.94 = 2,367.12/x
  3. Step 3: Cross multiply
    2,762.40x = 3,814.94 × 2,367.12
  4. Step 4: Simplify right side
    2,762.40x = 9,030,420.77
  5. Step 5: Solve for x
    x = 9,030,420.77/2,762.40
  6. Step 6: Final answer
    x = 3,269.05

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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.