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Finding the Fourth Proportional to 2,548.59, 3,517.80 and 1,664.53

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Solution

The fourth proportional to 2,548.59, 3,517.80 and 1,664.53 is: 2,297.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,548.59 : 3,517.80 = 1,664.53 : x
  2. Step 2: Convert to fraction form
    2,548.59/3,517.80 = 1,664.53/x
  3. Step 3: Cross multiply
    2,548.59x = 3,517.80 × 1,664.53
  4. Step 4: Simplify right side
    2,548.59x = 5,855,483.63
  5. Step 5: Solve for x
    x = 5,855,483.63/2,548.59
  6. Step 6: Final answer
    x = 2,297.54

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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.