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Finding the Fourth Proportional to 2,590.35, 3,576 and 1,755.46

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Solution

The fourth proportional to 2,590.35, 3,576 and 1,755.46 is: 2,423.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,590.35 : 3,576 = 1,755.46 : x
  2. Step 2: Convert to fraction form
    2,590.35/3,576 = 1,755.46/x
  3. Step 3: Cross multiply
    2,590.35x = 3,576 × 1,755.46
  4. Step 4: Simplify right side
    2,590.35x = 6,277,524.96
  5. Step 5: Solve for x
    x = 6,277,524.96/2,590.35
  6. Step 6: Final answer
    x = 2,423.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.