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Finding the Fourth Proportional to 1,352.98, 1,867.26 and 1,269.55

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Solution

The fourth proportional to 1,352.98, 1,867.26 and 1,269.55 is: 1,752.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,352.98 : 1,867.26 = 1,269.55 : x
  2. Step 2: Convert to fraction form
    1,352.98/1,867.26 = 1,269.55/x
  3. Step 3: Cross multiply
    1,352.98x = 1,867.26 × 1,269.55
  4. Step 4: Simplify right side
    1,352.98x = 2,370,579.93
  5. Step 5: Solve for x
    x = 2,370,579.93/1,352.98
  6. Step 6: Final answer
    x = 1,752.12

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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.