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Finding the Fourth Proportional to 3,105.26, 4,656.72 and 1,024.88

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Solution

The fourth proportional to 3,105.26, 4,656.72 and 1,024.88 is: 1,536.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.26 : 4,656.72 = 1,024.88 : x
  2. Step 2: Convert to fraction form
    3,105.26/4,656.72 = 1,024.88/x
  3. Step 3: Cross multiply
    3,105.26x = 4,656.72 × 1,024.88
  4. Step 4: Simplify right side
    3,105.26x = 4,772,579.19
  5. Step 5: Solve for x
    x = 4,772,579.19/3,105.26
  6. Step 6: Final answer
    x = 1,536.93

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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.