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Finding the Fourth Proportional to 1,999.71, 2,999.57 and 1,025.19

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Solution

The fourth proportional to 1,999.71, 2,999.57 and 1,025.19 is: 1,537.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999.71 : 2,999.57 = 1,025.19 : x
  2. Step 2: Convert to fraction form
    1,999.71/2,999.57 = 1,025.19/x
  3. Step 3: Cross multiply
    1,999.71x = 2,999.57 × 1,025.19
  4. Step 4: Simplify right side
    1,999.71x = 3,075,135.39
  5. Step 5: Solve for x
    x = 3,075,135.39/1,999.71
  6. Step 6: Final answer
    x = 1,537.79

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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.