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Finding the Fourth Proportional to 2,348.84, 3,243.55 and 1,511

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Solution

The fourth proportional to 2,348.84, 3,243.55 and 1,511 is: 2,086.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,348.84 : 3,243.55 = 1,511 : x
  2. Step 2: Convert to fraction form
    2,348.84/3,243.55 = 1,511/x
  3. Step 3: Cross multiply
    2,348.84x = 3,243.55 × 1,511
  4. Step 4: Simplify right side
    2,348.84x = 4,901,004.05
  5. Step 5: Solve for x
    x = 4,901,004.05/2,348.84
  6. Step 6: Final answer
    x = 2,086.56

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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.