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Finding the Fourth Proportional to 2,903.31, 4,006.89 and 1,841.40

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Solution

The fourth proportional to 2,903.31, 4,006.89 and 1,841.40 is: 2,541.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,903.31 : 4,006.89 = 1,841.40 : x
  2. Step 2: Convert to fraction form
    2,903.31/4,006.89 = 1,841.40/x
  3. Step 3: Cross multiply
    2,903.31x = 4,006.89 × 1,841.40
  4. Step 4: Simplify right side
    2,903.31x = 7,378,287.25
  5. Step 5: Solve for x
    x = 7,378,287.25/2,903.31
  6. Step 6: Final answer
    x = 2,541.34

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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.