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Finding the Fourth Proportional to 2,522.09, 3,780.01 and 876.71

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Solution

The fourth proportional to 2,522.09, 3,780.01 and 876.71 is: 1,313.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,522.09 : 3,780.01 = 876.71 : x
  2. Step 2: Convert to fraction form
    2,522.09/3,780.01 = 876.71/x
  3. Step 3: Cross multiply
    2,522.09x = 3,780.01 × 876.71
  4. Step 4: Simplify right side
    2,522.09x = 3,313,972.57
  5. Step 5: Solve for x
    x = 3,313,972.57/2,522.09
  6. Step 6: Final answer
    x = 1,313.98

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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.