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Finding the Fourth Proportional to 1,513.37, 2,274.15 and 820.55

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Solution

The fourth proportional to 1,513.37, 2,274.15 and 820.55 is: 1,233.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,513.37 : 2,274.15 = 820.55 : x
  2. Step 2: Convert to fraction form
    1,513.37/2,274.15 = 820.55/x
  3. Step 3: Cross multiply
    1,513.37x = 2,274.15 × 820.55
  4. Step 4: Simplify right side
    1,513.37x = 1,866,053.78
  5. Step 5: Solve for x
    x = 1,866,053.78/1,513.37
  6. Step 6: Final answer
    x = 1,233.05

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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.