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Finding the Fourth Proportional to 1,872.42, 2,583.60 and 1,164.45

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Solution

The fourth proportional to 1,872.42, 2,583.60 and 1,164.45 is: 1,606.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,872.42 : 2,583.60 = 1,164.45 : x
  2. Step 2: Convert to fraction form
    1,872.42/2,583.60 = 1,164.45/x
  3. Step 3: Cross multiply
    1,872.42x = 2,583.60 × 1,164.45
  4. Step 4: Simplify right side
    1,872.42x = 3,008,473.02
  5. Step 5: Solve for x
    x = 3,008,473.02/1,872.42
  6. Step 6: Final answer
    x = 1,606.73

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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.