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Finding the Fourth Proportional to 2,686.37, 4,023.72 and 1,643.22

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Solution

The fourth proportional to 2,686.37, 4,023.72 and 1,643.22 is: 2,461.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686.37 : 4,023.72 = 1,643.22 : x
  2. Step 2: Convert to fraction form
    2,686.37/4,023.72 = 1,643.22/x
  3. Step 3: Cross multiply
    2,686.37x = 4,023.72 × 1,643.22
  4. Step 4: Simplify right side
    2,686.37x = 6,611,852.56
  5. Step 5: Solve for x
    x = 6,611,852.56/2,686.37
  6. Step 6: Final answer
    x = 2,461.26

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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.