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Finding the Fourth Proportional to 2,513.32, 3,770.62 and 1,145

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Solution

The fourth proportional to 2,513.32, 3,770.62 and 1,145 is: 1,717.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,513.32 : 3,770.62 = 1,145 : x
  2. Step 2: Convert to fraction form
    2,513.32/3,770.62 = 1,145/x
  3. Step 3: Cross multiply
    2,513.32x = 3,770.62 × 1,145
  4. Step 4: Simplify right side
    2,513.32x = 4,317,359.90
  5. Step 5: Solve for x
    x = 4,317,359.90/2,513.32
  6. Step 6: Final answer
    x = 1,717.79

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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.