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Finding the Fourth Proportional to 2,954.94, 4,077.76 and 1,628.77

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Solution

The fourth proportional to 2,954.94, 4,077.76 and 1,628.77 is: 2,247.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,954.94 : 4,077.76 = 1,628.77 : x
  2. Step 2: Convert to fraction form
    2,954.94/4,077.76 = 1,628.77/x
  3. Step 3: Cross multiply
    2,954.94x = 4,077.76 × 1,628.77
  4. Step 4: Simplify right side
    2,954.94x = 6,641,733.16
  5. Step 5: Solve for x
    x = 6,641,733.16/2,954.94
  6. Step 6: Final answer
    x = 2,247.67

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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.