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Finding the Fourth Proportional to 2,545, 3,512.10 and 1,441

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Solution

The fourth proportional to 2,545, 3,512.10 and 1,441 is: 1,988.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,545 : 3,512.10 = 1,441 : x
  2. Step 2: Convert to fraction form
    2,545/3,512.10 = 1,441/x
  3. Step 3: Cross multiply
    2,545x = 3,512.10 × 1,441
  4. Step 4: Simplify right side
    2,545x = 5,060,936.10
  5. Step 5: Solve for x
    x = 5,060,936.10/2,545
  6. Step 6: Final answer
    x = 1,988.58

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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.