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Finding the Fourth Proportional to 1,873.42, 2,584.96 and 1,165.46

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Solution

The fourth proportional to 1,873.42, 2,584.96 and 1,165.46 is: 1,608.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,873.42 : 2,584.96 = 1,165.46 : x
  2. Step 2: Convert to fraction form
    1,873.42/2,584.96 = 1,165.46/x
  3. Step 3: Cross multiply
    1,873.42x = 2,584.96 × 1,165.46
  4. Step 4: Simplify right side
    1,873.42x = 3,012,667.48
  5. Step 5: Solve for x
    x = 3,012,667.48/1,873.42
  6. Step 6: Final answer
    x = 1,608.11

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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.