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Finding the Fourth Proportional to 1,657.82, 2,286.88 and 1,051.05

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Solution

The fourth proportional to 1,657.82, 2,286.88 and 1,051.05 is: 1,449.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657.82 : 2,286.88 = 1,051.05 : x
  2. Step 2: Convert to fraction form
    1,657.82/2,286.88 = 1,051.05/x
  3. Step 3: Cross multiply
    1,657.82x = 2,286.88 × 1,051.05
  4. Step 4: Simplify right side
    1,657.82x = 2,403,625.22
  5. Step 5: Solve for x
    x = 2,403,625.22/1,657.82
  6. Step 6: Final answer
    x = 1,449.87

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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.