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Finding the Fourth Proportional to 2,590.05, 3,574.31 and 1,411.12

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Solution

The fourth proportional to 2,590.05, 3,574.31 and 1,411.12 is: 1,947.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,590.05 : 3,574.31 = 1,411.12 : x
  2. Step 2: Convert to fraction form
    2,590.05/3,574.31 = 1,411.12/x
  3. Step 3: Cross multiply
    2,590.05x = 3,574.31 × 1,411.12
  4. Step 4: Simplify right side
    2,590.05x = 5,043,780.33
  5. Step 5: Solve for x
    x = 5,043,780.33/2,590.05
  6. Step 6: Final answer
    x = 1,947.37

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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.