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Finding the Fourth Proportional to 4,170.06, 6,254.28 and 1,830.78

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Solution

The fourth proportional to 4,170.06, 6,254.28 and 1,830.78 is: 2,745.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,170.06 : 6,254.28 = 1,830.78 : x
  2. Step 2: Convert to fraction form
    4,170.06/6,254.28 = 1,830.78/x
  3. Step 3: Cross multiply
    4,170.06x = 6,254.28 × 1,830.78
  4. Step 4: Simplify right side
    4,170.06x = 11,450,210.74
  5. Step 5: Solve for x
    x = 11,450,210.74/4,170.06
  6. Step 6: Final answer
    x = 2,745.81

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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.