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Finding the Fourth Proportional to 3,214.18, 4,821.06 and 1,024.48

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Solution

The fourth proportional to 3,214.18, 4,821.06 and 1,024.48 is: 1,536.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,214.18 : 4,821.06 = 1,024.48 : x
  2. Step 2: Convert to fraction form
    3,214.18/4,821.06 = 1,024.48/x
  3. Step 3: Cross multiply
    3,214.18x = 4,821.06 × 1,024.48
  4. Step 4: Simplify right side
    3,214.18x = 4,939,055.44
  5. Step 5: Solve for x
    x = 4,939,055.44/3,214.18
  6. Step 6: Final answer
    x = 1,536.65

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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.