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Finding the Fourth Proportional to 2,612.85, 3,602.23 and 2,238.22

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Solution

The fourth proportional to 2,612.85, 3,602.23 and 2,238.22 is: 3,085.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,612.85 : 3,602.23 = 2,238.22 : x
  2. Step 2: Convert to fraction form
    2,612.85/3,602.23 = 2,238.22/x
  3. Step 3: Cross multiply
    2,612.85x = 3,602.23 × 2,238.22
  4. Step 4: Simplify right side
    2,612.85x = 8,062,583.23
  5. Step 5: Solve for x
    x = 8,062,583.23/2,612.85
  6. Step 6: Final answer
    x = 3,085.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.