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Finding the Fourth Proportional to 1,840.68, 2,538.78 and 1,757.88

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Solution

The fourth proportional to 1,840.68, 2,538.78 and 1,757.88 is: 2,424.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,840.68 : 2,538.78 = 1,757.88 : x
  2. Step 2: Convert to fraction form
    1,840.68/2,538.78 = 1,757.88/x
  3. Step 3: Cross multiply
    1,840.68x = 2,538.78 × 1,757.88
  4. Step 4: Simplify right side
    1,840.68x = 4,462,870.59
  5. Step 5: Solve for x
    x = 4,462,870.59/1,840.68
  6. Step 6: Final answer
    x = 2,424.58

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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.