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Finding the Fourth Proportional to 2,826.06, 4,239.12 and 1,671

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Solution

The fourth proportional to 2,826.06, 4,239.12 and 1,671 is: 2,506.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,826.06 : 4,239.12 = 1,671 : x
  2. Step 2: Convert to fraction form
    2,826.06/4,239.12 = 1,671/x
  3. Step 3: Cross multiply
    2,826.06x = 4,239.12 × 1,671
  4. Step 4: Simplify right side
    2,826.06x = 7,083,569.52
  5. Step 5: Solve for x
    x = 7,083,569.52/2,826.06
  6. Step 6: Final answer
    x = 2,506.52

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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.