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Finding the Fourth Proportional to 2,360.97, 3,534.98 and 1,489.41

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Solution

The fourth proportional to 2,360.97, 3,534.98 and 1,489.41 is: 2,230.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,360.97 : 3,534.98 = 1,489.41 : x
  2. Step 2: Convert to fraction form
    2,360.97/3,534.98 = 1,489.41/x
  3. Step 3: Cross multiply
    2,360.97x = 3,534.98 × 1,489.41
  4. Step 4: Simplify right side
    2,360.97x = 5,265,027.11
  5. Step 5: Solve for x
    x = 5,265,027.11/2,360.97
  6. Step 6: Final answer
    x = 2,230.03

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Why These Related Problems?

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