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Finding the Fourth Proportional to 2,590.17, 3,885.32 and 1,974.97

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Solution

The fourth proportional to 2,590.17, 3,885.32 and 1,974.97 is: 2,962.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,590.17 : 3,885.32 = 1,974.97 : x
  2. Step 2: Convert to fraction form
    2,590.17/3,885.32 = 1,974.97/x
  3. Step 3: Cross multiply
    2,590.17x = 3,885.32 × 1,974.97
  4. Step 4: Simplify right side
    2,590.17x = 7,673,390.44
  5. Step 5: Solve for x
    x = 7,673,390.44/2,590.17
  6. Step 6: Final answer
    x = 2,962.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.