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Finding the Fourth Proportional to 1,784.42, 2,463.06 and 1,253.06

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Solution

The fourth proportional to 1,784.42, 2,463.06 and 1,253.06 is: 1,729.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784.42 : 2,463.06 = 1,253.06 : x
  2. Step 2: Convert to fraction form
    1,784.42/2,463.06 = 1,253.06/x
  3. Step 3: Cross multiply
    1,784.42x = 2,463.06 × 1,253.06
  4. Step 4: Simplify right side
    1,784.42x = 3,086,361.96
  5. Step 5: Solve for x
    x = 3,086,361.96/1,784.42
  6. Step 6: Final answer
    x = 1,729.62

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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.