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Finding the Fourth Proportional to 2,590.22, 3,883.71 and 1,202.69

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Solution

The fourth proportional to 2,590.22, 3,883.71 and 1,202.69 is: 1,803.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,590.22 : 3,883.71 = 1,202.69 : x
  2. Step 2: Convert to fraction form
    2,590.22/3,883.71 = 1,202.69/x
  3. Step 3: Cross multiply
    2,590.22x = 3,883.71 × 1,202.69
  4. Step 4: Simplify right side
    2,590.22x = 4,670,899.18
  5. Step 5: Solve for x
    x = 4,670,899.18/2,590.22
  6. Step 6: Final answer
    x = 1,803.28

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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.