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Finding the Fourth Proportional to 2,903, 4,006.16 and 1,576.70

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Solution

The fourth proportional to 2,903, 4,006.16 and 1,576.70 is: 2,175.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,903 : 4,006.16 = 1,576.70 : x
  2. Step 2: Convert to fraction form
    2,903/4,006.16 = 1,576.70/x
  3. Step 3: Cross multiply
    2,903x = 4,006.16 × 1,576.70
  4. Step 4: Simplify right side
    2,903x = 6,316,512.47
  5. Step 5: Solve for x
    x = 6,316,512.47/2,903
  6. Step 6: Final answer
    x = 2,175.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.