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Finding the Fourth Proportional to 3,116.07, 4,674.09 and 1,267.17

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Solution

The fourth proportional to 3,116.07, 4,674.09 and 1,267.17 is: 1,900.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,116.07 : 4,674.09 = 1,267.17 : x
  2. Step 2: Convert to fraction form
    3,116.07/4,674.09 = 1,267.17/x
  3. Step 3: Cross multiply
    3,116.07x = 4,674.09 × 1,267.17
  4. Step 4: Simplify right side
    3,116.07x = 5,922,866.63
  5. Step 5: Solve for x
    x = 5,922,866.63/3,116.07
  6. Step 6: Final answer
    x = 1,900.75

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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.