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Finding the Fourth Proportional to 1,234.95, 1,852.27 and 345.54

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Solution

The fourth proportional to 1,234.95, 1,852.27 and 345.54 is: 518.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.95 : 1,852.27 = 345.54 : x
  2. Step 2: Convert to fraction form
    1,234.95/1,852.27 = 345.54/x
  3. Step 3: Cross multiply
    1,234.95x = 1,852.27 × 345.54
  4. Step 4: Simplify right side
    1,234.95x = 640,034.25
  5. Step 5: Solve for x
    x = 640,034.25/1,234.95
  6. Step 6: Final answer
    x = 518.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.