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Finding the Fourth Proportional to 2,575.49, 3,859.75 and 1,878.89

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Solution

The fourth proportional to 2,575.49, 3,859.75 and 1,878.89 is: 2,815.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,575.49 : 3,859.75 = 1,878.89 : x
  2. Step 2: Convert to fraction form
    2,575.49/3,859.75 = 1,878.89/x
  3. Step 3: Cross multiply
    2,575.49x = 3,859.75 × 1,878.89
  4. Step 4: Simplify right side
    2,575.49x = 7,252,045.68
  5. Step 5: Solve for x
    x = 7,252,045.68/2,575.49
  6. Step 6: Final answer
    x = 2,815.79

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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.