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Finding the Fourth Proportional to 2,171.88, 3,258.12 and 690.60

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Solution

The fourth proportional to 2,171.88, 3,258.12 and 690.60 is: 1,036.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171.88 : 3,258.12 = 690.60 : x
  2. Step 2: Convert to fraction form
    2,171.88/3,258.12 = 690.60/x
  3. Step 3: Cross multiply
    2,171.88x = 3,258.12 × 690.60
  4. Step 4: Simplify right side
    2,171.88x = 2,250,057.67
  5. Step 5: Solve for x
    x = 2,250,057.67/2,171.88
  6. Step 6: Final answer
    x = 1,036.00

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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.