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Finding the Fourth Proportional to 2,644.84, 3,646.56 and 1,698.96

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Solution

The fourth proportional to 2,644.84, 3,646.56 and 1,698.96 is: 2,342.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,644.84 : 3,646.56 = 1,698.96 : x
  2. Step 2: Convert to fraction form
    2,644.84/3,646.56 = 1,698.96/x
  3. Step 3: Cross multiply
    2,644.84x = 3,646.56 × 1,698.96
  4. Step 4: Simplify right side
    2,644.84x = 6,195,359.58
  5. Step 5: Solve for x
    x = 6,195,359.58/2,644.84
  6. Step 6: Final answer
    x = 2,342.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.