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Finding the Fourth Proportional to 1,677.51, 2,315.79 and 1,286.28

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Solution

The fourth proportional to 1,677.51, 2,315.79 and 1,286.28 is: 1,775.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,677.51 : 2,315.79 = 1,286.28 : x
  2. Step 2: Convert to fraction form
    1,677.51/2,315.79 = 1,286.28/x
  3. Step 3: Cross multiply
    1,677.51x = 2,315.79 × 1,286.28
  4. Step 4: Simplify right side
    1,677.51x = 2,978,754.36
  5. Step 5: Solve for x
    x = 2,978,754.36/1,677.51
  6. Step 6: Final answer
    x = 1,775.70

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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.