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Finding the Fourth Proportional to 3,104.24, 4,656.97 and 1,024.16

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Solution

The fourth proportional to 3,104.24, 4,656.97 and 1,024.16 is: 1,536.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,104.24 : 4,656.97 = 1,024.16 : x
  2. Step 2: Convert to fraction form
    3,104.24/4,656.97 = 1,024.16/x
  3. Step 3: Cross multiply
    3,104.24x = 4,656.97 × 1,024.16
  4. Step 4: Simplify right side
    3,104.24x = 4,769,482.40
  5. Step 5: Solve for x
    x = 4,769,482.40/3,104.24
  6. Step 6: Final answer
    x = 1,536.44

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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.