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Finding the Fourth Proportional to 2,749.77, 4,125.30 and 900.84

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Solution

The fourth proportional to 2,749.77, 4,125.30 and 900.84 is: 1,351.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,749.77 : 4,125.30 = 900.84 : x
  2. Step 2: Convert to fraction form
    2,749.77/4,125.30 = 900.84/x
  3. Step 3: Cross multiply
    2,749.77x = 4,125.30 × 900.84
  4. Step 4: Simplify right side
    2,749.77x = 3,716,235.25
  5. Step 5: Solve for x
    x = 3,716,235.25/2,749.77
  6. Step 6: Final answer
    x = 1,351.47

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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.