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Finding the Fourth Proportional to 2,575.85, 3,554.64 and 1,396.89

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Solution

The fourth proportional to 2,575.85, 3,554.64 and 1,396.89 is: 1,927.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,575.85 : 3,554.64 = 1,396.89 : x
  2. Step 2: Convert to fraction form
    2,575.85/3,554.64 = 1,396.89/x
  3. Step 3: Cross multiply
    2,575.85x = 3,554.64 × 1,396.89
  4. Step 4: Simplify right side
    2,575.85x = 4,965,441.07
  5. Step 5: Solve for x
    x = 4,965,441.07/2,575.85
  6. Step 6: Final answer
    x = 1,927.69

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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.