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Finding the Fourth Proportional to 2,943.54, 4,062.08 and 1,599.14

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Solution

The fourth proportional to 2,943.54, 4,062.08 and 1,599.14 is: 2,206.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,943.54 : 4,062.08 = 1,599.14 : x
  2. Step 2: Convert to fraction form
    2,943.54/4,062.08 = 1,599.14/x
  3. Step 3: Cross multiply
    2,943.54x = 4,062.08 × 1,599.14
  4. Step 4: Simplify right side
    2,943.54x = 6,495,841.85
  5. Step 5: Solve for x
    x = 6,495,841.85/2,943.54
  6. Step 6: Final answer
    x = 2,206.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.