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Finding the Fourth Proportional to 2,576.34, 3,557.12 and 1,693.67

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Solution

The fourth proportional to 2,576.34, 3,557.12 and 1,693.67 is: 2,338.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,576.34 : 3,557.12 = 1,693.67 : x
  2. Step 2: Convert to fraction form
    2,576.34/3,557.12 = 1,693.67/x
  3. Step 3: Cross multiply
    2,576.34x = 3,557.12 × 1,693.67
  4. Step 4: Simplify right side
    2,576.34x = 6,024,561.18
  5. Step 5: Solve for x
    x = 6,024,561.18/2,576.34
  6. Step 6: Final answer
    x = 2,338.42

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Why These Related Problems?

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