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Finding the Fourth Proportional to 3,184.91, 4,773.69 and 1,235.46

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Solution

The fourth proportional to 3,184.91, 4,773.69 and 1,235.46 is: 1,851.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184.91 : 4,773.69 = 1,235.46 : x
  2. Step 2: Convert to fraction form
    3,184.91/4,773.69 = 1,235.46/x
  3. Step 3: Cross multiply
    3,184.91x = 4,773.69 × 1,235.46
  4. Step 4: Simplify right side
    3,184.91x = 5,897,703.05
  5. Step 5: Solve for x
    x = 5,897,703.05/3,184.91
  6. Step 6: Final answer
    x = 1,851.77

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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.