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Finding the Fourth Proportional to 3,106.97, 4,653.76 and 1,461.05

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Solution

The fourth proportional to 3,106.97, 4,653.76 and 1,461.05 is: 2,188.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.97 : 4,653.76 = 1,461.05 : x
  2. Step 2: Convert to fraction form
    3,106.97/4,653.76 = 1,461.05/x
  3. Step 3: Cross multiply
    3,106.97x = 4,653.76 × 1,461.05
  4. Step 4: Simplify right side
    3,106.97x = 6,799,376.05
  5. Step 5: Solve for x
    x = 6,799,376.05/3,106.97
  6. Step 6: Final answer
    x = 2,188.43

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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.