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Finding the Fourth Proportional to 2,902.88, 4,005.86 and 1,576.56

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Solution

The fourth proportional to 2,902.88, 4,005.86 and 1,576.56 is: 2,175.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902.88 : 4,005.86 = 1,576.56 : x
  2. Step 2: Convert to fraction form
    2,902.88/4,005.86 = 1,576.56/x
  3. Step 3: Cross multiply
    2,902.88x = 4,005.86 × 1,576.56
  4. Step 4: Simplify right side
    2,902.88x = 6,315,478.64
  5. Step 5: Solve for x
    x = 6,315,478.64/2,902.88
  6. Step 6: Final answer
    x = 2,175.59

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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.