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Finding the Fourth Proportional to 3,185.92, 4,780.10 and 1,106.14

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Solution

The fourth proportional to 3,185.92, 4,780.10 and 1,106.14 is: 1,659.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,185.92 : 4,780.10 = 1,106.14 : x
  2. Step 2: Convert to fraction form
    3,185.92/4,780.10 = 1,106.14/x
  3. Step 3: Cross multiply
    3,185.92x = 4,780.10 × 1,106.14
  4. Step 4: Simplify right side
    3,185.92x = 5,287,459.81
  5. Step 5: Solve for x
    x = 5,287,459.81/3,185.92
  6. Step 6: Final answer
    x = 1,659.63

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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.