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Finding the Fourth Proportional to 2,682.32, 3,705 and 2,420.24

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Solution

The fourth proportional to 2,682.32, 3,705 and 2,420.24 is: 3,343.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682.32 : 3,705 = 2,420.24 : x
  2. Step 2: Convert to fraction form
    2,682.32/3,705 = 2,420.24/x
  3. Step 3: Cross multiply
    2,682.32x = 3,705 × 2,420.24
  4. Step 4: Simplify right side
    2,682.32x = 8,966,989.20
  5. Step 5: Solve for x
    x = 8,966,989.20/2,682.32
  6. Step 6: Final answer
    x = 3,343.00

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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.