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Finding the Fourth Proportional to 1,581.37, 2,372.15 and 1,141.63

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Solution

The fourth proportional to 1,581.37, 2,372.15 and 1,141.63 is: 1,712.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581.37 : 2,372.15 = 1,141.63 : x
  2. Step 2: Convert to fraction form
    1,581.37/2,372.15 = 1,141.63/x
  3. Step 3: Cross multiply
    1,581.37x = 2,372.15 × 1,141.63
  4. Step 4: Simplify right side
    1,581.37x = 2,708,117.60
  5. Step 5: Solve for x
    x = 2,708,117.60/1,581.37
  6. Step 6: Final answer
    x = 1,712.51

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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.