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Finding the Fourth Proportional to 2,460.42, 3,396.54 and 1,576.76

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Solution

The fourth proportional to 2,460.42, 3,396.54 and 1,576.76 is: 2,176.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,460.42 : 3,396.54 = 1,576.76 : x
  2. Step 2: Convert to fraction form
    2,460.42/3,396.54 = 1,576.76/x
  3. Step 3: Cross multiply
    2,460.42x = 3,396.54 × 1,576.76
  4. Step 4: Simplify right side
    2,460.42x = 5,355,511.43
  5. Step 5: Solve for x
    x = 5,355,511.43/2,460.42
  6. Step 6: Final answer
    x = 2,176.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.