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Finding the Fourth Proportional to 4,576.68, 6,865.01 and 1,654.98

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Solution

The fourth proportional to 4,576.68, 6,865.01 and 1,654.98 is: 2,482.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,576.68 : 6,865.01 = 1,654.98 : x
  2. Step 2: Convert to fraction form
    4,576.68/6,865.01 = 1,654.98/x
  3. Step 3: Cross multiply
    4,576.68x = 6,865.01 × 1,654.98
  4. Step 4: Simplify right side
    4,576.68x = 11,361,445.97
  5. Step 5: Solve for x
    x = 11,361,445.97/4,576.68
  6. Step 6: Final answer
    x = 2,482.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.