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Finding the Fourth Proportional to 4,300.80, 6,454.80 and 2,111.40

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Solution

The fourth proportional to 4,300.80, 6,454.80 and 2,111.40 is: 3,168.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,300.80 : 6,454.80 = 2,111.40 : x
  2. Step 2: Convert to fraction form
    4,300.80/6,454.80 = 2,111.40/x
  3. Step 3: Cross multiply
    4,300.80x = 6,454.80 × 2,111.40
  4. Step 4: Simplify right side
    4,300.80x = 13,628,664.72
  5. Step 5: Solve for x
    x = 13,628,664.72/4,300.80
  6. Step 6: Final answer
    x = 3,168.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.