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Finding the Fourth Proportional to 2,679.40, 3,698.34 and 2,417.32

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Solution

The fourth proportional to 2,679.40, 3,698.34 and 2,417.32 is: 3,336.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,679.40 : 3,698.34 = 2,417.32 : x
  2. Step 2: Convert to fraction form
    2,679.40/3,698.34 = 2,417.32/x
  3. Step 3: Cross multiply
    2,679.40x = 3,698.34 × 2,417.32
  4. Step 4: Simplify right side
    2,679.40x = 8,940,071.25
  5. Step 5: Solve for x
    x = 8,940,071.25/2,679.40
  6. Step 6: Final answer
    x = 3,336.59

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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.