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Finding the Fourth Proportional to 2,643.60, 3,649 and 1,525.30

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Solution

The fourth proportional to 2,643.60, 3,649 and 1,525.30 is: 2,105.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643.60 : 3,649 = 1,525.30 : x
  2. Step 2: Convert to fraction form
    2,643.60/3,649 = 1,525.30/x
  3. Step 3: Cross multiply
    2,643.60x = 3,649 × 1,525.30
  4. Step 4: Simplify right side
    2,643.60x = 5,565,819.70
  5. Step 5: Solve for x
    x = 5,565,819.70/2,643.60
  6. Step 6: Final answer
    x = 2,105.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.