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Finding the Fourth Proportional to 2,590.31, 3,574.64 and 1,411.38

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Solution

The fourth proportional to 2,590.31, 3,574.64 and 1,411.38 is: 1,947.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,590.31 : 3,574.64 = 1,411.38 : x
  2. Step 2: Convert to fraction form
    2,590.31/3,574.64 = 1,411.38/x
  3. Step 3: Cross multiply
    2,590.31x = 3,574.64 × 1,411.38
  4. Step 4: Simplify right side
    2,590.31x = 5,045,175.40
  5. Step 5: Solve for x
    x = 5,045,175.40/2,590.31
  6. Step 6: Final answer
    x = 1,947.71

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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.