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Finding the Fourth Proportional to 1,645.60, 2,276.24 and 1,342.24

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Solution

The fourth proportional to 1,645.60, 2,276.24 and 1,342.24 is: 1,856.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.60 : 2,276.24 = 1,342.24 : x
  2. Step 2: Convert to fraction form
    1,645.60/2,276.24 = 1,342.24/x
  3. Step 3: Cross multiply
    1,645.60x = 2,276.24 × 1,342.24
  4. Step 4: Simplify right side
    1,645.60x = 3,055,260.38
  5. Step 5: Solve for x
    x = 3,055,260.38/1,645.60
  6. Step 6: Final answer
    x = 1,856.62

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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.