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Finding the Fourth Proportional to 2,513.96, 3,770.94 and 1,145

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Solution

The fourth proportional to 2,513.96, 3,770.94 and 1,145 is: 1,717.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,513.96 : 3,770.94 = 1,145 : x
  2. Step 2: Convert to fraction form
    2,513.96/3,770.94 = 1,145/x
  3. Step 3: Cross multiply
    2,513.96x = 3,770.94 × 1,145
  4. Step 4: Simplify right side
    2,513.96x = 4,317,726.30
  5. Step 5: Solve for x
    x = 4,317,726.30/2,513.96
  6. Step 6: Final answer
    x = 1,717.50

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Why These Related Problems?

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