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Finding the Fourth Proportional to 2,106.74, 3,160.16 and 546.81

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Solution

The fourth proportional to 2,106.74, 3,160.16 and 546.81 is: 820.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.74 : 3,160.16 = 546.81 : x
  2. Step 2: Convert to fraction form
    2,106.74/3,160.16 = 546.81/x
  3. Step 3: Cross multiply
    2,106.74x = 3,160.16 × 546.81
  4. Step 4: Simplify right side
    2,106.74x = 1,727,995.58
  5. Step 5: Solve for x
    x = 1,727,995.58/2,106.74
  6. Step 6: Final answer
    x = 820.22

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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.