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Finding the Fourth Proportional to 2,685.77, 3,703.37 and 1,689.83

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Solution

The fourth proportional to 2,685.77, 3,703.37 and 1,689.83 is: 2,330.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,685.77 : 3,703.37 = 1,689.83 : x
  2. Step 2: Convert to fraction form
    2,685.77/3,703.37 = 1,689.83/x
  3. Step 3: Cross multiply
    2,685.77x = 3,703.37 × 1,689.83
  4. Step 4: Simplify right side
    2,685.77x = 6,258,057.28
  5. Step 5: Solve for x
    x = 6,258,057.28/2,685.77
  6. Step 6: Final answer
    x = 2,330.08

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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.