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Finding the Fourth Proportional to 1,234.37, 1,851.08 and 356.57

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Solution

The fourth proportional to 1,234.37, 1,851.08 and 356.57 is: 534.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.37 : 1,851.08 = 356.57 : x
  2. Step 2: Convert to fraction form
    1,234.37/1,851.08 = 356.57/x
  3. Step 3: Cross multiply
    1,234.37x = 1,851.08 × 356.57
  4. Step 4: Simplify right side
    1,234.37x = 660,031.23
  5. Step 5: Solve for x
    x = 660,031.23/1,234.37
  6. Step 6: Final answer
    x = 534.71

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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.