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Finding the Fourth Proportional to 2,360.92, 3,539.45 and 1,447

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Solution

The fourth proportional to 2,360.92, 3,539.45 and 1,447 is: 2,169.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,360.92 : 3,539.45 = 1,447 : x
  2. Step 2: Convert to fraction form
    2,360.92/3,539.45 = 1,447/x
  3. Step 3: Cross multiply
    2,360.92x = 3,539.45 × 1,447
  4. Step 4: Simplify right side
    2,360.92x = 5,121,584.15
  5. Step 5: Solve for x
    x = 5,121,584.15/2,360.92
  6. Step 6: Final answer
    x = 2,169.32

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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.