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Finding the Fourth Proportional to 3,104, 4,656.72 and 1,052

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Solution

The fourth proportional to 3,104, 4,656.72 and 1,052 is: 1,578.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,104 : 4,656.72 = 1,052 : x
  2. Step 2: Convert to fraction form
    3,104/4,656.72 = 1,052/x
  3. Step 3: Cross multiply
    3,104x = 4,656.72 × 1,052
  4. Step 4: Simplify right side
    3,104x = 4,898,869.44
  5. Step 5: Solve for x
    x = 4,898,869.44/3,104
  6. Step 6: Final answer
    x = 1,578.24

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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.