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Finding the Fourth Proportional to 1,402.96, 1,934.94 and 1,234.54

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Solution

The fourth proportional to 1,402.96, 1,934.94 and 1,234.54 is: 1,702.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.96 : 1,934.94 = 1,234.54 : x
  2. Step 2: Convert to fraction form
    1,402.96/1,934.94 = 1,234.54/x
  3. Step 3: Cross multiply
    1,402.96x = 1,934.94 × 1,234.54
  4. Step 4: Simplify right side
    1,402.96x = 2,388,767.21
  5. Step 5: Solve for x
    x = 2,388,767.21/1,402.96
  6. Step 6: Final answer
    x = 1,702.67

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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.