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Finding the Fourth Proportional to 2,784.35, 4,151.95 and 2,759.36

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Solution

The fourth proportional to 2,784.35, 4,151.95 and 2,759.36 is: 4,114.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.35 : 4,151.95 = 2,759.36 : x
  2. Step 2: Convert to fraction form
    2,784.35/4,151.95 = 2,759.36/x
  3. Step 3: Cross multiply
    2,784.35x = 4,151.95 × 2,759.36
  4. Step 4: Simplify right side
    2,784.35x = 11,456,697.09
  5. Step 5: Solve for x
    x = 11,456,697.09/2,784.35
  6. Step 6: Final answer
    x = 4,114.67

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.