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Finding the Fourth Proportional to 3,004.94, 4,509.04 and 1,157.34

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Solution

The fourth proportional to 3,004.94, 4,509.04 and 1,157.34 is: 1,736.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,004.94 : 4,509.04 = 1,157.34 : x
  2. Step 2: Convert to fraction form
    3,004.94/4,509.04 = 1,157.34/x
  3. Step 3: Cross multiply
    3,004.94x = 4,509.04 × 1,157.34
  4. Step 4: Simplify right side
    3,004.94x = 5,218,492.35
  5. Step 5: Solve for x
    x = 5,218,492.35/3,004.94
  6. Step 6: Final answer
    x = 1,736.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.