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Finding the Fourth Proportional to 2,433.88, 3,359.07 and 1,687.45

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Solution

The fourth proportional to 2,433.88, 3,359.07 and 1,687.45 is: 2,328.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,433.88 : 3,359.07 = 1,687.45 : x
  2. Step 2: Convert to fraction form
    2,433.88/3,359.07 = 1,687.45/x
  3. Step 3: Cross multiply
    2,433.88x = 3,359.07 × 1,687.45
  4. Step 4: Simplify right side
    2,433.88x = 5,668,262.67
  5. Step 5: Solve for x
    x = 5,668,262.67/2,433.88
  6. Step 6: Final answer
    x = 2,328.90

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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.