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Finding the Fourth Proportional to 2,709.16, 3,736.74 and 1,661.64

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Solution

The fourth proportional to 2,709.16, 3,736.74 and 1,661.64 is: 2,291.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.16 : 3,736.74 = 1,661.64 : x
  2. Step 2: Convert to fraction form
    2,709.16/3,736.74 = 1,661.64/x
  3. Step 3: Cross multiply
    2,709.16x = 3,736.74 × 1,661.64
  4. Step 4: Simplify right side
    2,709.16x = 6,209,116.65
  5. Step 5: Solve for x
    x = 6,209,116.65/2,709.16
  6. Step 6: Final answer
    x = 2,291.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.