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Finding the Fourth Proportional to 4,171.80, 6,259.42 and 1,830.58

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Solution

The fourth proportional to 4,171.80, 6,259.42 and 1,830.58 is: 2,746.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,171.80 : 6,259.42 = 1,830.58 : x
  2. Step 2: Convert to fraction form
    4,171.80/6,259.42 = 1,830.58/x
  3. Step 3: Cross multiply
    4,171.80x = 6,259.42 × 1,830.58
  4. Step 4: Simplify right side
    4,171.80x = 11,458,369.06
  5. Step 5: Solve for x
    x = 11,458,369.06/4,171.80
  6. Step 6: Final answer
    x = 2,746.62

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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.