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Finding the Fourth Proportional to 2,741, 3,782.64 and 1,499

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Solution

The fourth proportional to 2,741, 3,782.64 and 1,499 is: 2,068.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,741 : 3,782.64 = 1,499 : x
  2. Step 2: Convert to fraction form
    2,741/3,782.64 = 1,499/x
  3. Step 3: Cross multiply
    2,741x = 3,782.64 × 1,499
  4. Step 4: Simplify right side
    2,741x = 5,670,177.36
  5. Step 5: Solve for x
    x = 5,670,177.36/2,741
  6. Step 6: Final answer
    x = 2,068.65

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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.