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Finding the Fourth Proportional to 1,657.50, 2,284.20 and 1,067.10

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Solution

The fourth proportional to 1,657.50, 2,284.20 and 1,067.10 is: 1,470.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657.50 : 2,284.20 = 1,067.10 : x
  2. Step 2: Convert to fraction form
    1,657.50/2,284.20 = 1,067.10/x
  3. Step 3: Cross multiply
    1,657.50x = 2,284.20 × 1,067.10
  4. Step 4: Simplify right side
    1,657.50x = 2,437,469.82
  5. Step 5: Solve for x
    x = 2,437,469.82/1,657.50
  6. Step 6: Final answer
    x = 1,470.57

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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.