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Finding the Fourth Proportional to 1,234.41, 1,851.61 and 368.72

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Solution

The fourth proportional to 1,234.41, 1,851.61 and 368.72 is: 553.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.41 : 1,851.61 = 368.72 : x
  2. Step 2: Convert to fraction form
    1,234.41/1,851.61 = 368.72/x
  3. Step 3: Cross multiply
    1,234.41x = 1,851.61 × 368.72
  4. Step 4: Simplify right side
    1,234.41x = 682,723.09
  5. Step 5: Solve for x
    x = 682,723.09/1,234.41
  6. Step 6: Final answer
    x = 553.08

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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.