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Finding the Fourth Proportional to 1,516.32, 2,273.76 and 591.30

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Solution

The fourth proportional to 1,516.32, 2,273.76 and 591.30 is: 886.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516.32 : 2,273.76 = 591.30 : x
  2. Step 2: Convert to fraction form
    1,516.32/2,273.76 = 591.30/x
  3. Step 3: Cross multiply
    1,516.32x = 2,273.76 × 591.30
  4. Step 4: Simplify right side
    1,516.32x = 1,344,474.29
  5. Step 5: Solve for x
    x = 1,344,474.29/1,516.32
  6. Step 6: Final answer
    x = 886.67

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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.