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Finding the Fourth Proportional to 2,575.71, 3,554.47 and 1,396.78

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Solution

The fourth proportional to 2,575.71, 3,554.47 and 1,396.78 is: 1,927.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,575.71 : 3,554.47 = 1,396.78 : x
  2. Step 2: Convert to fraction form
    2,575.71/3,554.47 = 1,396.78/x
  3. Step 3: Cross multiply
    2,575.71x = 3,554.47 × 1,396.78
  4. Step 4: Simplify right side
    2,575.71x = 4,964,800.42
  5. Step 5: Solve for x
    x = 4,964,800.42/2,575.71
  6. Step 6: Final answer
    x = 1,927.55

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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.