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Finding the Fourth Proportional to 2,641.82, 3,645.76 and 1,522.57

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Solution

The fourth proportional to 2,641.82, 3,645.76 and 1,522.57 is: 2,101.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,641.82 : 3,645.76 = 1,522.57 : x
  2. Step 2: Convert to fraction form
    2,641.82/3,645.76 = 1,522.57/x
  3. Step 3: Cross multiply
    2,641.82x = 3,645.76 × 1,522.57
  4. Step 4: Simplify right side
    2,641.82x = 5,550,911.88
  5. Step 5: Solve for x
    x = 5,550,911.88/2,641.82
  6. Step 6: Final answer
    x = 2,101.17

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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.