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Finding the Fourth Proportional to 2,758.59, 4,137.88 and 1,296.67

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Solution

The fourth proportional to 2,758.59, 4,137.88 and 1,296.67 is: 1,945.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.59 : 4,137.88 = 1,296.67 : x
  2. Step 2: Convert to fraction form
    2,758.59/4,137.88 = 1,296.67/x
  3. Step 3: Cross multiply
    2,758.59x = 4,137.88 × 1,296.67
  4. Step 4: Simplify right side
    2,758.59x = 5,365,464.86
  5. Step 5: Solve for x
    x = 5,365,464.86/2,758.59
  6. Step 6: Final answer
    x = 1,945.00

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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.