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Finding the Fourth Proportional to 2,755.98, 4,139.46 and 2,690.46

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Solution

The fourth proportional to 2,755.98, 4,139.46 and 2,690.46 is: 4,041.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,755.98 : 4,139.46 = 2,690.46 : x
  2. Step 2: Convert to fraction form
    2,755.98/4,139.46 = 2,690.46/x
  3. Step 3: Cross multiply
    2,755.98x = 4,139.46 × 2,690.46
  4. Step 4: Simplify right side
    2,755.98x = 11,137,051.55
  5. Step 5: Solve for x
    x = 11,137,051.55/2,755.98
  6. Step 6: Final answer
    x = 4,041.05

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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.