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Finding the Fourth Proportional to 2,967.80, 4,454.40 and 2,557.40

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Solution

The fourth proportional to 2,967.80, 4,454.40 and 2,557.40 is: 3,838.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,967.80 : 4,454.40 = 2,557.40 : x
  2. Step 2: Convert to fraction form
    2,967.80/4,454.40 = 2,557.40/x
  3. Step 3: Cross multiply
    2,967.80x = 4,454.40 × 2,557.40
  4. Step 4: Simplify right side
    2,967.80x = 11,391,682.56
  5. Step 5: Solve for x
    x = 11,391,682.56/2,967.80
  6. Step 6: Final answer
    x = 3,838.43

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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.