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Finding the Fourth Proportional to 2,410.76, 3,326.81 and 1,362.83

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Solution

The fourth proportional to 2,410.76, 3,326.81 and 1,362.83 is: 1,880.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,410.76 : 3,326.81 = 1,362.83 : x
  2. Step 2: Convert to fraction form
    2,410.76/3,326.81 = 1,362.83/x
  3. Step 3: Cross multiply
    2,410.76x = 3,326.81 × 1,362.83
  4. Step 4: Simplify right side
    2,410.76x = 4,533,853.02
  5. Step 5: Solve for x
    x = 4,533,853.02/2,410.76
  6. Step 6: Final answer
    x = 1,880.67

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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.