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Finding the Fourth Proportional to 2,135.70, 3,203.70 and 675.06

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Solution

The fourth proportional to 2,135.70, 3,203.70 and 675.06 is: 1,012.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.70 : 3,203.70 = 675.06 : x
  2. Step 2: Convert to fraction form
    2,135.70/3,203.70 = 675.06/x
  3. Step 3: Cross multiply
    2,135.70x = 3,203.70 × 675.06
  4. Step 4: Simplify right side
    2,135.70x = 2,162,689.72
  5. Step 5: Solve for x
    x = 2,162,689.72/2,135.70
  6. Step 6: Final answer
    x = 1,012.64

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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.