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Finding the Fourth Proportional to 2,622.42, 3,602.75 and 2,346.31

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Solution

The fourth proportional to 2,622.42, 3,602.75 and 2,346.31 is: 3,223.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,622.42 : 3,602.75 = 2,346.31 : x
  2. Step 2: Convert to fraction form
    2,622.42/3,602.75 = 2,346.31/x
  3. Step 3: Cross multiply
    2,622.42x = 3,602.75 × 2,346.31
  4. Step 4: Simplify right side
    2,622.42x = 8,453,147.61
  5. Step 5: Solve for x
    x = 8,453,147.61/2,622.42
  6. Step 6: Final answer
    x = 3,223.41

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.