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Finding the Fourth Proportional to 2,590.98, 3,874.65 and 1,933.32

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Solution

The fourth proportional to 2,590.98, 3,874.65 and 1,933.32 is: 2,891.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,590.98 : 3,874.65 = 1,933.32 : x
  2. Step 2: Convert to fraction form
    2,590.98/3,874.65 = 1,933.32/x
  3. Step 3: Cross multiply
    2,590.98x = 3,874.65 × 1,933.32
  4. Step 4: Simplify right side
    2,590.98x = 7,490,938.34
  5. Step 5: Solve for x
    x = 7,490,938.34/2,590.98
  6. Step 6: Final answer
    x = 2,891.16

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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.