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Finding the Fourth Proportional to 3,162.95, 4,741.52 and 1,214.76

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Solution

The fourth proportional to 3,162.95, 4,741.52 and 1,214.76 is: 1,821.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,162.95 : 4,741.52 = 1,214.76 : x
  2. Step 2: Convert to fraction form
    3,162.95/4,741.52 = 1,214.76/x
  3. Step 3: Cross multiply
    3,162.95x = 4,741.52 × 1,214.76
  4. Step 4: Simplify right side
    3,162.95x = 5,759,802.76
  5. Step 5: Solve for x
    x = 5,759,802.76/3,162.95
  6. Step 6: Final answer
    x = 1,821.03

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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.