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Finding the Fourth Proportional to 2,968.64, 4,096.50 and 1,709.64

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Solution

The fourth proportional to 2,968.64, 4,096.50 and 1,709.64 is: 2,359.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,968.64 : 4,096.50 = 1,709.64 : x
  2. Step 2: Convert to fraction form
    2,968.64/4,096.50 = 1,709.64/x
  3. Step 3: Cross multiply
    2,968.64x = 4,096.50 × 1,709.64
  4. Step 4: Simplify right side
    2,968.64x = 7,003,540.26
  5. Step 5: Solve for x
    x = 7,003,540.26/2,968.64
  6. Step 6: Final answer
    x = 2,359.17

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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.