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Finding the Fourth Proportional to 2,749.53, 4,124.79 and 900.74

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Solution

The fourth proportional to 2,749.53, 4,124.79 and 900.74 is: 1,351.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,749.53 : 4,124.79 = 900.74 : x
  2. Step 2: Convert to fraction form
    2,749.53/4,124.79 = 900.74/x
  3. Step 3: Cross multiply
    2,749.53x = 4,124.79 × 900.74
  4. Step 4: Simplify right side
    2,749.53x = 3,715,373.66
  5. Step 5: Solve for x
    x = 3,715,373.66/2,749.53
  6. Step 6: Final answer
    x = 1,351.28

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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.