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Finding the Fourth Proportional to 2,456.90, 3,686.05 and 1,223.99

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Solution

The fourth proportional to 2,456.90, 3,686.05 and 1,223.99 is: 1,836.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,456.90 : 3,686.05 = 1,223.99 : x
  2. Step 2: Convert to fraction form
    2,456.90/3,686.05 = 1,223.99/x
  3. Step 3: Cross multiply
    2,456.90x = 3,686.05 × 1,223.99
  4. Step 4: Simplify right side
    2,456.90x = 4,511,666.85
  5. Step 5: Solve for x
    x = 4,511,666.85/2,456.90
  6. Step 6: Final answer
    x = 1,836.33

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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.