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Finding the Fourth Proportional to 1,679.14, 2,516.52 and 856.72

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Solution

The fourth proportional to 1,679.14, 2,516.52 and 856.72 is: 1,283.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,679.14 : 2,516.52 = 856.72 : x
  2. Step 2: Convert to fraction form
    1,679.14/2,516.52 = 856.72/x
  3. Step 3: Cross multiply
    1,679.14x = 2,516.52 × 856.72
  4. Step 4: Simplify right side
    1,679.14x = 2,155,953.01
  5. Step 5: Solve for x
    x = 2,155,953.01/1,679.14
  6. Step 6: Final answer
    x = 1,283.96

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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.