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Finding the Fourth Proportional to 2,762.15, 3,811.70 and 1,503.23

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Solution

The fourth proportional to 2,762.15, 3,811.70 and 1,503.23 is: 2,074.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.15 : 3,811.70 = 1,503.23 : x
  2. Step 2: Convert to fraction form
    2,762.15/3,811.70 = 1,503.23/x
  3. Step 3: Cross multiply
    2,762.15x = 3,811.70 × 1,503.23
  4. Step 4: Simplify right side
    2,762.15x = 5,729,854.27
  5. Step 5: Solve for x
    x = 5,729,854.27/2,762.15
  6. Step 6: Final answer
    x = 2,074.42

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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.