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Finding the Fourth Proportional to 2,685.36, 3,707 and 1,637.84

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Solution

The fourth proportional to 2,685.36, 3,707 and 1,637.84 is: 2,260.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,685.36 : 3,707 = 1,637.84 : x
  2. Step 2: Convert to fraction form
    2,685.36/3,707 = 1,637.84/x
  3. Step 3: Cross multiply
    2,685.36x = 3,707 × 1,637.84
  4. Step 4: Simplify right side
    2,685.36x = 6,071,472.88
  5. Step 5: Solve for x
    x = 6,071,472.88/2,685.36
  6. Step 6: Final answer
    x = 2,260.95

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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.