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Finding the Fourth Proportional to 2,612.32, 3,604.24 and 1,668.64

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Solution

The fourth proportional to 2,612.32, 3,604.24 and 1,668.64 is: 2,302.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,612.32 : 3,604.24 = 1,668.64 : x
  2. Step 2: Convert to fraction form
    2,612.32/3,604.24 = 1,668.64/x
  3. Step 3: Cross multiply
    2,612.32x = 3,604.24 × 1,668.64
  4. Step 4: Simplify right side
    2,612.32x = 6,014,179.03
  5. Step 5: Solve for x
    x = 6,014,179.03/2,612.32
  6. Step 6: Final answer
    x = 2,302.24

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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.