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Finding the Fourth Proportional to 2,809.76, 3,876.89 and 1,925.24

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Solution

The fourth proportional to 2,809.76, 3,876.89 and 1,925.24 is: 2,656.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,809.76 : 3,876.89 = 1,925.24 : x
  2. Step 2: Convert to fraction form
    2,809.76/3,876.89 = 1,925.24/x
  3. Step 3: Cross multiply
    2,809.76x = 3,876.89 × 1,925.24
  4. Step 4: Simplify right side
    2,809.76x = 7,463,914.69
  5. Step 5: Solve for x
    x = 7,463,914.69/2,809.76
  6. Step 6: Final answer
    x = 2,656.43

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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.