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Finding the Fourth Proportional to 1,999.98, 2,758.47 and 1,468.70

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Solution

The fourth proportional to 1,999.98, 2,758.47 and 1,468.70 is: 2,025.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999.98 : 2,758.47 = 1,468.70 : x
  2. Step 2: Convert to fraction form
    1,999.98/2,758.47 = 1,468.70/x
  3. Step 3: Cross multiply
    1,999.98x = 2,758.47 × 1,468.70
  4. Step 4: Simplify right side
    1,999.98x = 4,051,351.10
  5. Step 5: Solve for x
    x = 4,051,351.10/1,999.98
  6. Step 6: Final answer
    x = 2,025.70

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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.