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Finding the Fourth Proportional to 2,590.40, 3,572.46 and 2,092.88

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Solution

The fourth proportional to 2,590.40, 3,572.46 and 2,092.88 is: 2,886.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,590.40 : 3,572.46 = 2,092.88 : x
  2. Step 2: Convert to fraction form
    2,590.40/3,572.46 = 2,092.88/x
  3. Step 3: Cross multiply
    2,590.40x = 3,572.46 × 2,092.88
  4. Step 4: Simplify right side
    2,590.40x = 7,476,730.08
  5. Step 5: Solve for x
    x = 7,476,730.08/2,590.40
  6. Step 6: Final answer
    x = 2,886.32

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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.