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Finding the Fourth Proportional to 3,111.54, 4,661.06 and 1,546.81

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Solution

The fourth proportional to 3,111.54, 4,661.06 and 1,546.81 is: 2,317.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,111.54 : 4,661.06 = 1,546.81 : x
  2. Step 2: Convert to fraction form
    3,111.54/4,661.06 = 1,546.81/x
  3. Step 3: Cross multiply
    3,111.54x = 4,661.06 × 1,546.81
  4. Step 4: Simplify right side
    3,111.54x = 7,209,774.22
  5. Step 5: Solve for x
    x = 7,209,774.22/3,111.54
  6. Step 6: Final answer
    x = 2,317.11

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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.