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Finding the Fourth Proportional to 1,659.24, 2,490.48 and 1,354.82

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Solution

The fourth proportional to 1,659.24, 2,490.48 and 1,354.82 is: 2,033.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,659.24 : 2,490.48 = 1,354.82 : x
  2. Step 2: Convert to fraction form
    1,659.24/2,490.48 = 1,354.82/x
  3. Step 3: Cross multiply
    1,659.24x = 2,490.48 × 1,354.82
  4. Step 4: Simplify right side
    1,659.24x = 3,374,139.66
  5. Step 5: Solve for x
    x = 3,374,139.66/1,659.24
  6. Step 6: Final answer
    x = 2,033.55

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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.