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Finding the Fourth Proportional to 1,828.96, 2,725.85 and 1,813.69

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Solution

The fourth proportional to 1,828.96, 2,725.85 and 1,813.69 is: 2,703.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.96 : 2,725.85 = 1,813.69 : x
  2. Step 2: Convert to fraction form
    1,828.96/2,725.85 = 1,813.69/x
  3. Step 3: Cross multiply
    1,828.96x = 2,725.85 × 1,813.69
  4. Step 4: Simplify right side
    1,828.96x = 4,943,852.69
  5. Step 5: Solve for x
    x = 4,943,852.69/1,828.96
  6. Step 6: Final answer
    x = 2,703.09

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.