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Finding the Fourth Proportional to 1,820.85, 2,731.27 and 846.82

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Solution

The fourth proportional to 1,820.85, 2,731.27 and 846.82 is: 1,270.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,820.85 : 2,731.27 = 846.82 : x
  2. Step 2: Convert to fraction form
    1,820.85/2,731.27 = 846.82/x
  3. Step 3: Cross multiply
    1,820.85x = 2,731.27 × 846.82
  4. Step 4: Simplify right side
    1,820.85x = 2,312,894.06
  5. Step 5: Solve for x
    x = 2,312,894.06/1,820.85
  6. Step 6: Final answer
    x = 1,270.23

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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.