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Finding the Fourth Proportional to 2,902.59, 4,005.57 and 1,576.29

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Solution

The fourth proportional to 2,902.59, 4,005.57 and 1,576.29 is: 2,175.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902.59 : 4,005.57 = 1,576.29 : x
  2. Step 2: Convert to fraction form
    2,902.59/4,005.57 = 1,576.29/x
  3. Step 3: Cross multiply
    2,902.59x = 4,005.57 × 1,576.29
  4. Step 4: Simplify right side
    2,902.59x = 6,313,939.94
  5. Step 5: Solve for x
    x = 6,313,939.94/2,902.59
  6. Step 6: Final answer
    x = 2,175.28

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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.