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Finding the Fourth Proportional to 1,234.35, 1,851.42 and 368.66

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Solution

The fourth proportional to 1,234.35, 1,851.42 and 368.66 is: 552.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.35 : 1,851.42 = 368.66 : x
  2. Step 2: Convert to fraction form
    1,234.35/1,851.42 = 368.66/x
  3. Step 3: Cross multiply
    1,234.35x = 1,851.42 × 368.66
  4. Step 4: Simplify right side
    1,234.35x = 682,550.51
  5. Step 5: Solve for x
    x = 682,550.51/1,234.35
  6. Step 6: Final answer
    x = 552.96

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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.