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Finding the Fourth Proportional to 1,674.69, 2,311.42 and 1,115.18

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Solution

The fourth proportional to 1,674.69, 2,311.42 and 1,115.18 is: 1,539.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,674.69 : 2,311.42 = 1,115.18 : x
  2. Step 2: Convert to fraction form
    1,674.69/2,311.42 = 1,115.18/x
  3. Step 3: Cross multiply
    1,674.69x = 2,311.42 × 1,115.18
  4. Step 4: Simplify right side
    1,674.69x = 2,577,652.35
  5. Step 5: Solve for x
    x = 2,577,652.35/1,674.69
  6. Step 6: Final answer
    x = 1,539.18

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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.