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Finding the Fourth Proportional to 2,495, 3,742.50 and 671

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Solution

The fourth proportional to 2,495, 3,742.50 and 671 is: 1,006.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,495 : 3,742.50 = 671 : x
  2. Step 2: Convert to fraction form
    2,495/3,742.50 = 671/x
  3. Step 3: Cross multiply
    2,495x = 3,742.50 × 671
  4. Step 4: Simplify right side
    2,495x = 2,511,217.50
  5. Step 5: Solve for x
    x = 2,511,217.50/2,495
  6. Step 6: Final answer
    x = 1,006.50

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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.