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Finding the Fourth Proportional to 2,360.77, 3,541.77 and 1,321.49

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Solution

The fourth proportional to 2,360.77, 3,541.77 and 1,321.49 is: 1,982.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,360.77 : 3,541.77 = 1,321.49 : x
  2. Step 2: Convert to fraction form
    2,360.77/3,541.77 = 1,321.49/x
  3. Step 3: Cross multiply
    2,360.77x = 3,541.77 × 1,321.49
  4. Step 4: Simplify right side
    2,360.77x = 4,680,422.49
  5. Step 5: Solve for x
    x = 4,680,422.49/2,360.77
  6. Step 6: Final answer
    x = 1,982.59

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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.