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Finding the Fourth Proportional to 2,663.63, 3,679.40 and 2,415.23

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Solution

The fourth proportional to 2,663.63, 3,679.40 and 2,415.23 is: 3,336.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663.63 : 3,679.40 = 2,415.23 : x
  2. Step 2: Convert to fraction form
    2,663.63/3,679.40 = 2,415.23/x
  3. Step 3: Cross multiply
    2,663.63x = 3,679.40 × 2,415.23
  4. Step 4: Simplify right side
    2,663.63x = 8,886,585.19
  5. Step 5: Solve for x
    x = 8,886,585.19/2,663.63
  6. Step 6: Final answer
    x = 3,336.27

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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.