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Finding the Fourth Proportional to 2,590.07, 3,574.31 and 1,411.15

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Solution

The fourth proportional to 2,590.07, 3,574.31 and 1,411.15 is: 1,947.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,590.07 : 3,574.31 = 1,411.15 : x
  2. Step 2: Convert to fraction form
    2,590.07/3,574.31 = 1,411.15/x
  3. Step 3: Cross multiply
    2,590.07x = 3,574.31 × 1,411.15
  4. Step 4: Simplify right side
    2,590.07x = 5,043,887.56
  5. Step 5: Solve for x
    x = 5,043,887.56/2,590.07
  6. Step 6: Final answer
    x = 1,947.39

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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.