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Finding the Fourth Proportional to 1,676.74, 2,517.90 and 1,405.12

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Solution

The fourth proportional to 1,676.74, 2,517.90 and 1,405.12 is: 2,110.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,676.74 : 2,517.90 = 1,405.12 : x
  2. Step 2: Convert to fraction form
    1,676.74/2,517.90 = 1,405.12/x
  3. Step 3: Cross multiply
    1,676.74x = 2,517.90 × 1,405.12
  4. Step 4: Simplify right side
    1,676.74x = 3,537,951.65
  5. Step 5: Solve for x
    x = 3,537,951.65/1,676.74
  6. Step 6: Final answer
    x = 2,110.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.