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Finding the Fourth Proportional to 1,352.40, 1,855.29 and 1,268.58

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Solution

The fourth proportional to 1,352.40, 1,855.29 and 1,268.58 is: 1,740.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,352.40 : 1,855.29 = 1,268.58 : x
  2. Step 2: Convert to fraction form
    1,352.40/1,855.29 = 1,268.58/x
  3. Step 3: Cross multiply
    1,352.40x = 1,855.29 × 1,268.58
  4. Step 4: Simplify right side
    1,352.40x = 2,353,583.79
  5. Step 5: Solve for x
    x = 2,353,583.79/1,352.40
  6. Step 6: Final answer
    x = 1,740.30

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.