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Finding the Fourth Proportional to 2,485.59, 3,728.77 and 841.69

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Solution

The fourth proportional to 2,485.59, 3,728.77 and 841.69 is: 1,262.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,485.59 : 3,728.77 = 841.69 : x
  2. Step 2: Convert to fraction form
    2,485.59/3,728.77 = 841.69/x
  3. Step 3: Cross multiply
    2,485.59x = 3,728.77 × 841.69
  4. Step 4: Simplify right side
    2,485.59x = 3,138,470.98
  5. Step 5: Solve for x
    x = 3,138,470.98/2,485.59
  6. Step 6: Final answer
    x = 1,262.67

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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.