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Finding the Fourth Proportional to 3,048.12, 4,204.86 and 1,927.17

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Solution

The fourth proportional to 3,048.12, 4,204.86 and 1,927.17 is: 2,658.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,048.12 : 4,204.86 = 1,927.17 : x
  2. Step 2: Convert to fraction form
    3,048.12/4,204.86 = 1,927.17/x
  3. Step 3: Cross multiply
    3,048.12x = 4,204.86 × 1,927.17
  4. Step 4: Simplify right side
    3,048.12x = 8,103,480.05
  5. Step 5: Solve for x
    x = 8,103,480.05/3,048.12
  6. Step 6: Final answer
    x = 2,658.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.