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Finding the Fourth Proportional to 3,116.63, 4,301.49 and 1,858.41

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Solution

The fourth proportional to 3,116.63, 4,301.49 and 1,858.41 is: 2,564.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,116.63 : 4,301.49 = 1,858.41 : x
  2. Step 2: Convert to fraction form
    3,116.63/4,301.49 = 1,858.41/x
  3. Step 3: Cross multiply
    3,116.63x = 4,301.49 × 1,858.41
  4. Step 4: Simplify right side
    3,116.63x = 7,993,922.87
  5. Step 5: Solve for x
    x = 7,993,922.87/3,116.63
  6. Step 6: Final answer
    x = 2,564.93

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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.