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Finding the Fourth Proportional to 3,005.51, 4,509.62 and 1,157.03

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Solution

The fourth proportional to 3,005.51, 4,509.62 and 1,157.03 is: 1,736.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,005.51 : 4,509.62 = 1,157.03 : x
  2. Step 2: Convert to fraction form
    3,005.51/4,509.62 = 1,157.03/x
  3. Step 3: Cross multiply
    3,005.51x = 4,509.62 × 1,157.03
  4. Step 4: Simplify right side
    3,005.51x = 5,217,790.42
  5. Step 5: Solve for x
    x = 5,217,790.42/3,005.51
  6. Step 6: Final answer
    x = 1,736.08

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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.