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Finding the Fourth Proportional to 2,804.98, 3,871.32 and 2,140.57

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Solution

The fourth proportional to 2,804.98, 3,871.32 and 2,140.57 is: 2,954.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,804.98 : 3,871.32 = 2,140.57 : x
  2. Step 2: Convert to fraction form
    2,804.98/3,871.32 = 2,140.57/x
  3. Step 3: Cross multiply
    2,804.98x = 3,871.32 × 2,140.57
  4. Step 4: Simplify right side
    2,804.98x = 8,286,831.45
  5. Step 5: Solve for x
    x = 8,286,831.45/2,804.98
  6. Step 6: Final answer
    x = 2,954.33

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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.