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Finding the Fourth Proportional to 1,825.60, 2,520.72 and 1,405.30

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Solution

The fourth proportional to 1,825.60, 2,520.72 and 1,405.30 is: 1,940.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,825.60 : 2,520.72 = 1,405.30 : x
  2. Step 2: Convert to fraction form
    1,825.60/2,520.72 = 1,405.30/x
  3. Step 3: Cross multiply
    1,825.60x = 2,520.72 × 1,405.30
  4. Step 4: Simplify right side
    1,825.60x = 3,542,367.82
  5. Step 5: Solve for x
    x = 3,542,367.82/1,825.60
  6. Step 6: Final answer
    x = 1,940.39

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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.