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Finding the Fourth Proportional to 3,104.32, 4,657.26 and 1,024.44

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Solution

The fourth proportional to 3,104.32, 4,657.26 and 1,024.44 is: 1,536.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,104.32 : 4,657.26 = 1,024.44 : x
  2. Step 2: Convert to fraction form
    3,104.32/4,657.26 = 1,024.44/x
  3. Step 3: Cross multiply
    3,104.32x = 4,657.26 × 1,024.44
  4. Step 4: Simplify right side
    3,104.32x = 4,771,098.98
  5. Step 5: Solve for x
    x = 4,771,098.98/3,104.32
  6. Step 6: Final answer
    x = 1,536.92

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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.