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Finding the Fourth Proportional to 2,644.76, 3,646.78 and 1,805.96

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Solution

The fourth proportional to 2,644.76, 3,646.78 and 1,805.96 is: 2,490.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,644.76 : 3,646.78 = 1,805.96 : x
  2. Step 2: Convert to fraction form
    2,644.76/3,646.78 = 1,805.96/x
  3. Step 3: Cross multiply
    2,644.76x = 3,646.78 × 1,805.96
  4. Step 4: Simplify right side
    2,644.76x = 6,585,943.41
  5. Step 5: Solve for x
    x = 6,585,943.41/2,644.76
  6. Step 6: Final answer
    x = 2,490.18

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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.