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Finding the Fourth Proportional to 3,136.80, 4,706.02 and 1,674.76

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Solution

The fourth proportional to 3,136.80, 4,706.02 and 1,674.76 is: 2,512.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,136.80 : 4,706.02 = 1,674.76 : x
  2. Step 2: Convert to fraction form
    3,136.80/4,706.02 = 1,674.76/x
  3. Step 3: Cross multiply
    3,136.80x = 4,706.02 × 1,674.76
  4. Step 4: Simplify right side
    3,136.80x = 7,881,454.06
  5. Step 5: Solve for x
    x = 7,881,454.06/3,136.80
  6. Step 6: Final answer
    x = 2,512.58

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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.