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Finding the Fourth Proportional to 4,171.44, 6,258.90 and 1,830.23

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Solution

The fourth proportional to 4,171.44, 6,258.90 and 1,830.23 is: 2,746.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,171.44 : 6,258.90 = 1,830.23 : x
  2. Step 2: Convert to fraction form
    4,171.44/6,258.90 = 1,830.23/x
  3. Step 3: Cross multiply
    4,171.44x = 6,258.90 × 1,830.23
  4. Step 4: Simplify right side
    4,171.44x = 11,455,237.62
  5. Step 5: Solve for x
    x = 11,455,237.62/4,171.44
  6. Step 6: Final answer
    x = 2,746.11

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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.