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Finding the Fourth Proportional to 2,087.51, 3,131.62 and 700.98

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Solution

The fourth proportional to 2,087.51, 3,131.62 and 700.98 is: 1,051.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.51 : 3,131.62 = 700.98 : x
  2. Step 2: Convert to fraction form
    2,087.51/3,131.62 = 700.98/x
  3. Step 3: Cross multiply
    2,087.51x = 3,131.62 × 700.98
  4. Step 4: Simplify right side
    2,087.51x = 2,195,201.24
  5. Step 5: Solve for x
    x = 2,195,201.24/2,087.51
  6. Step 6: Final answer
    x = 1,051.59

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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.