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Finding the Fourth Proportional to 1,836.71, 2,534.15 and 1,744.37

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Solution

The fourth proportional to 1,836.71, 2,534.15 and 1,744.37 is: 2,406.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,836.71 : 2,534.15 = 1,744.37 : x
  2. Step 2: Convert to fraction form
    1,836.71/2,534.15 = 1,744.37/x
  3. Step 3: Cross multiply
    1,836.71x = 2,534.15 × 1,744.37
  4. Step 4: Simplify right side
    1,836.71x = 4,420,486.51
  5. Step 5: Solve for x
    x = 4,420,486.51/1,836.71
  6. Step 6: Final answer
    x = 2,406.74

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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.