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Finding the Fourth Proportional to 1,581.34, 2,366.16 and 965.56

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Solution

The fourth proportional to 1,581.34, 2,366.16 and 965.56 is: 1,444.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581.34 : 2,366.16 = 965.56 : x
  2. Step 2: Convert to fraction form
    1,581.34/2,366.16 = 965.56/x
  3. Step 3: Cross multiply
    1,581.34x = 2,366.16 × 965.56
  4. Step 4: Simplify right side
    1,581.34x = 2,284,669.45
  5. Step 5: Solve for x
    x = 2,284,669.45/1,581.34
  6. Step 6: Final answer
    x = 1,444.77

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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.