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Finding the Fourth Proportional to 2,590.49, 3,882.49 and 2,040.50

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Solution

The fourth proportional to 2,590.49, 3,882.49 and 2,040.50 is: 3,058.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,590.49 : 3,882.49 = 2,040.50 : x
  2. Step 2: Convert to fraction form
    2,590.49/3,882.49 = 2,040.50/x
  3. Step 3: Cross multiply
    2,590.49x = 3,882.49 × 2,040.50
  4. Step 4: Simplify right side
    2,590.49x = 7,922,225.45
  5. Step 5: Solve for x
    x = 7,922,225.45/2,590.49
  6. Step 6: Final answer
    x = 3,058.19

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