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Finding the Fourth Proportional to 2,977.57, 4,109.16 and 2,230.21

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Solution

The fourth proportional to 2,977.57, 4,109.16 and 2,230.21 is: 3,077.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,977.57 : 4,109.16 = 2,230.21 : x
  2. Step 2: Convert to fraction form
    2,977.57/4,109.16 = 2,230.21/x
  3. Step 3: Cross multiply
    2,977.57x = 4,109.16 × 2,230.21
  4. Step 4: Simplify right side
    2,977.57x = 9,164,289.72
  5. Step 5: Solve for x
    x = 9,164,289.72/2,977.57
  6. Step 6: Final answer
    x = 3,077.77

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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.