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Finding the Fourth Proportional to 2,673.98, 3,686.51 and 1,876.23

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Solution

The fourth proportional to 2,673.98, 3,686.51 and 1,876.23 is: 2,586.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,673.98 : 3,686.51 = 1,876.23 : x
  2. Step 2: Convert to fraction form
    2,673.98/3,686.51 = 1,876.23/x
  3. Step 3: Cross multiply
    2,673.98x = 3,686.51 × 1,876.23
  4. Step 4: Simplify right side
    2,673.98x = 6,916,745.35
  5. Step 5: Solve for x
    x = 6,916,745.35/2,673.98
  6. Step 6: Final answer
    x = 2,586.69

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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.