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Finding the Fourth Proportional to 2,731.84, 3,770.32 and 1,553

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Solution

The fourth proportional to 2,731.84, 3,770.32 and 1,553 is: 2,143.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,731.84 : 3,770.32 = 1,553 : x
  2. Step 2: Convert to fraction form
    2,731.84/3,770.32 = 1,553/x
  3. Step 3: Cross multiply
    2,731.84x = 3,770.32 × 1,553
  4. Step 4: Simplify right side
    2,731.84x = 5,855,306.96
  5. Step 5: Solve for x
    x = 5,855,306.96/2,731.84
  6. Step 6: Final answer
    x = 2,143.36

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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.