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Finding the Fourth Proportional to 3,106.62, 4,287.60 and 2,300.94

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Solution

The fourth proportional to 3,106.62, 4,287.60 and 2,300.94 is: 3,175.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.62 : 4,287.60 = 2,300.94 : x
  2. Step 2: Convert to fraction form
    3,106.62/4,287.60 = 2,300.94/x
  3. Step 3: Cross multiply
    3,106.62x = 4,287.60 × 2,300.94
  4. Step 4: Simplify right side
    3,106.62x = 9,865,510.34
  5. Step 5: Solve for x
    x = 9,865,510.34/3,106.62
  6. Step 6: Final answer
    x = 3,175.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.