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Finding the Fourth Proportional to 2,685.32, 4,018.72 and 1,644.64

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Solution

The fourth proportional to 2,685.32, 4,018.72 and 1,644.64 is: 2,461.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,685.32 : 4,018.72 = 1,644.64 : x
  2. Step 2: Convert to fraction form
    2,685.32/4,018.72 = 1,644.64/x
  3. Step 3: Cross multiply
    2,685.32x = 4,018.72 × 1,644.64
  4. Step 4: Simplify right side
    2,685.32x = 6,609,347.66
  5. Step 5: Solve for x
    x = 6,609,347.66/2,685.32
  6. Step 6: Final answer
    x = 2,461.29

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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.