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Finding the Fourth Proportional to 1,698.05, 2,354.16 and 1,637.91

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Solution

The fourth proportional to 1,698.05, 2,354.16 and 1,637.91 is: 2,270.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698.05 : 2,354.16 = 1,637.91 : x
  2. Step 2: Convert to fraction form
    1,698.05/2,354.16 = 1,637.91/x
  3. Step 3: Cross multiply
    1,698.05x = 2,354.16 × 1,637.91
  4. Step 4: Simplify right side
    1,698.05x = 3,855,908.35
  5. Step 5: Solve for x
    x = 3,855,908.35/1,698.05
  6. Step 6: Final answer
    x = 2,270.78

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.