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Finding the Fourth Proportional to 3,286.59, 4,931.94 and 1,826.76

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Solution

The fourth proportional to 3,286.59, 4,931.94 and 1,826.76 is: 2,741.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,286.59 : 4,931.94 = 1,826.76 : x
  2. Step 2: Convert to fraction form
    3,286.59/4,931.94 = 1,826.76/x
  3. Step 3: Cross multiply
    3,286.59x = 4,931.94 × 1,826.76
  4. Step 4: Simplify right side
    3,286.59x = 9,009,470.71
  5. Step 5: Solve for x
    x = 9,009,470.71/3,286.59
  6. Step 6: Final answer
    x = 2,741.28

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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.