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Finding the Fourth Proportional to 2,141.00, 3,211.35 and 679.76

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Solution

The fourth proportional to 2,141.00, 3,211.35 and 679.76 is: 1,019.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141.00 : 3,211.35 = 679.76 : x
  2. Step 2: Convert to fraction form
    2,141.00/3,211.35 = 679.76/x
  3. Step 3: Cross multiply
    2,141.00x = 3,211.35 × 679.76
  4. Step 4: Simplify right side
    2,141.00x = 2,182,931.22
  5. Step 5: Solve for x
    x = 2,182,931.22/2,141.00
  6. Step 6: Final answer
    x = 1,019.59

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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.