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Finding the Fourth Proportional to 2,513.67, 3,772.26 and 1,033

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Solution

The fourth proportional to 2,513.67, 3,772.26 and 1,033 is: 1,550.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,513.67 : 3,772.26 = 1,033 : x
  2. Step 2: Convert to fraction form
    2,513.67/3,772.26 = 1,033/x
  3. Step 3: Cross multiply
    2,513.67x = 3,772.26 × 1,033
  4. Step 4: Simplify right side
    2,513.67x = 3,896,744.58
  5. Step 5: Solve for x
    x = 3,896,744.58/2,513.67
  6. Step 6: Final answer
    x = 1,550.22

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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.