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Finding the Fourth Proportional to 2,691, 4,037.94 and 2,043

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Solution

The fourth proportional to 2,691, 4,037.94 and 2,043 is: 3,065.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,691 : 4,037.94 = 2,043 : x
  2. Step 2: Convert to fraction form
    2,691/4,037.94 = 2,043/x
  3. Step 3: Cross multiply
    2,691x = 4,037.94 × 2,043
  4. Step 4: Simplify right side
    2,691x = 8,249,511.42
  5. Step 5: Solve for x
    x = 8,249,511.42/2,691
  6. Step 6: Final answer
    x = 3,065.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.