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Finding the Fourth Proportional to 2,410.82, 3,326.01 and 1,782.86

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Solution

The fourth proportional to 2,410.82, 3,326.01 and 1,782.86 is: 2,459.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,410.82 : 3,326.01 = 1,782.86 : x
  2. Step 2: Convert to fraction form
    2,410.82/3,326.01 = 1,782.86/x
  3. Step 3: Cross multiply
    2,410.82x = 3,326.01 × 1,782.86
  4. Step 4: Simplify right side
    2,410.82x = 5,929,810.19
  5. Step 5: Solve for x
    x = 5,929,810.19/2,410.82
  6. Step 6: Final answer
    x = 2,459.67

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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.