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Finding the Fourth Proportional to 1,672.49, 2,317.82 and 1,649

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Solution

The fourth proportional to 1,672.49, 2,317.82 and 1,649 is: 2,285.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,672.49 : 2,317.82 = 1,649 : x
  2. Step 2: Convert to fraction form
    1,672.49/2,317.82 = 1,649/x
  3. Step 3: Cross multiply
    1,672.49x = 2,317.82 × 1,649
  4. Step 4: Simplify right side
    1,672.49x = 3,822,085.18
  5. Step 5: Solve for x
    x = 3,822,085.18/1,672.49
  6. Step 6: Final answer
    x = 2,285.27

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.