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Finding the Fourth Proportional to 4,258.08, 6,387.44 and 1,180

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Solution

The fourth proportional to 4,258.08, 6,387.44 and 1,180 is: 1,770.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,258.08 : 6,387.44 = 1,180 : x
  2. Step 2: Convert to fraction form
    4,258.08/6,387.44 = 1,180/x
  3. Step 3: Cross multiply
    4,258.08x = 6,387.44 × 1,180
  4. Step 4: Simplify right side
    4,258.08x = 7,537,179.20
  5. Step 5: Solve for x
    x = 7,537,179.20/4,258.08
  6. Step 6: Final answer
    x = 1,770.09

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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.