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Finding the Fourth Proportional to 1,930.42, 2,878.68 and 1,912.88

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Solution

The fourth proportional to 1,930.42, 2,878.68 and 1,912.88 is: 2,852.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,930.42 : 2,878.68 = 1,912.88 : x
  2. Step 2: Convert to fraction form
    1,930.42/2,878.68 = 1,912.88/x
  3. Step 3: Cross multiply
    1,930.42x = 2,878.68 × 1,912.88
  4. Step 4: Simplify right side
    1,930.42x = 5,506,576.60
  5. Step 5: Solve for x
    x = 5,506,576.60/1,930.42
  6. Step 6: Final answer
    x = 2,852.53

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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.