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Finding the Fourth Proportional to 2,000.14, 3,000.48 and 701.98

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Solution

The fourth proportional to 2,000.14, 3,000.48 and 701.98 is: 1,053.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.14 : 3,000.48 = 701.98 : x
  2. Step 2: Convert to fraction form
    2,000.14/3,000.48 = 701.98/x
  3. Step 3: Cross multiply
    2,000.14x = 3,000.48 × 701.98
  4. Step 4: Simplify right side
    2,000.14x = 2,106,276.95
  5. Step 5: Solve for x
    x = 2,106,276.95/2,000.14
  6. Step 6: Final answer
    x = 1,053.06

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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.