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Finding the Fourth Proportional to 3,263.76, 4,504.00 and 1,771.68

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Solution

The fourth proportional to 3,263.76, 4,504.00 and 1,771.68 is: 2,444.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,263.76 : 4,504.00 = 1,771.68 : x
  2. Step 2: Convert to fraction form
    3,263.76/4,504.00 = 1,771.68/x
  3. Step 3: Cross multiply
    3,263.76x = 4,504.00 × 1,771.68
  4. Step 4: Simplify right side
    3,263.76x = 7,979,648.93
  5. Step 5: Solve for x
    x = 7,979,648.93/3,263.76
  6. Step 6: Final answer
    x = 2,444.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.