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Finding the Fourth Proportional to 1,583.12, 2,372.87 and 965.45

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Solution

The fourth proportional to 1,583.12, 2,372.87 and 965.45 is: 1,447.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.12 : 2,372.87 = 965.45 : x
  2. Step 2: Convert to fraction form
    1,583.12/2,372.87 = 965.45/x
  3. Step 3: Cross multiply
    1,583.12x = 2,372.87 × 965.45
  4. Step 4: Simplify right side
    1,583.12x = 2,290,892.97
  5. Step 5: Solve for x
    x = 2,290,892.97/1,583.12
  6. Step 6: Final answer
    x = 1,447.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.