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Finding the Fourth Proportional to 2,482.40, 3,434.19 and 2,039.42

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Solution

The fourth proportional to 2,482.40, 3,434.19 and 2,039.42 is: 2,821.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,482.40 : 3,434.19 = 2,039.42 : x
  2. Step 2: Convert to fraction form
    2,482.40/3,434.19 = 2,039.42/x
  3. Step 3: Cross multiply
    2,482.40x = 3,434.19 × 2,039.42
  4. Step 4: Simplify right side
    2,482.40x = 7,003,755.77
  5. Step 5: Solve for x
    x = 7,003,755.77/2,482.40
  6. Step 6: Final answer
    x = 2,821.36

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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.