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Finding the Fourth Proportional to 3,176.84, 4,742.06 and 2,942.33

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Solution

The fourth proportional to 3,176.84, 4,742.06 and 2,942.33 is: 4,392.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,176.84 : 4,742.06 = 2,942.33 : x
  2. Step 2: Convert to fraction form
    3,176.84/4,742.06 = 2,942.33/x
  3. Step 3: Cross multiply
    3,176.84x = 4,742.06 × 2,942.33
  4. Step 4: Simplify right side
    3,176.84x = 13,952,706.99
  5. Step 5: Solve for x
    x = 13,952,706.99/3,176.84
  6. Step 6: Final answer
    x = 4,392.01

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.