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Finding the Fourth Proportional to 2,698.84, 3,724.14 and 1,651.96

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Solution

The fourth proportional to 2,698.84, 3,724.14 and 1,651.96 is: 2,279.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.84 : 3,724.14 = 1,651.96 : x
  2. Step 2: Convert to fraction form
    2,698.84/3,724.14 = 1,651.96/x
  3. Step 3: Cross multiply
    2,698.84x = 3,724.14 × 1,651.96
  4. Step 4: Simplify right side
    2,698.84x = 6,152,130.31
  5. Step 5: Solve for x
    x = 6,152,130.31/2,698.84
  6. Step 6: Final answer
    x = 2,279.55

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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.