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Finding the Fourth Proportional to 2,758.60, 4,137.90 and 2,451.40

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Solution

The fourth proportional to 2,758.60, 4,137.90 and 2,451.40 is: 3,677.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.60 : 4,137.90 = 2,451.40 : x
  2. Step 2: Convert to fraction form
    2,758.60/4,137.90 = 2,451.40/x
  3. Step 3: Cross multiply
    2,758.60x = 4,137.90 × 2,451.40
  4. Step 4: Simplify right side
    2,758.60x = 10,143,648.06
  5. Step 5: Solve for x
    x = 10,143,648.06/2,758.60
  6. Step 6: Final answer
    x = 3,677.10

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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.