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Finding the Fourth Proportional to 4,017.74, 6,025.19 and 1,205.73

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Solution

The fourth proportional to 4,017.74, 6,025.19 and 1,205.73 is: 1,808.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,017.74 : 6,025.19 = 1,205.73 : x
  2. Step 2: Convert to fraction form
    4,017.74/6,025.19 = 1,205.73/x
  3. Step 3: Cross multiply
    4,017.74x = 6,025.19 × 1,205.73
  4. Step 4: Simplify right side
    4,017.74x = 7,264,752.34
  5. Step 5: Solve for x
    x = 7,264,752.34/4,017.74
  6. Step 6: Final answer
    x = 1,808.17

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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.