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Finding the Fourth Proportional to 2,575.74, 3,554.50 and 1,396.78

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Solution

The fourth proportional to 2,575.74, 3,554.50 and 1,396.78 is: 1,927.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,575.74 : 3,554.50 = 1,396.78 : x
  2. Step 2: Convert to fraction form
    2,575.74/3,554.50 = 1,396.78/x
  3. Step 3: Cross multiply
    2,575.74x = 3,554.50 × 1,396.78
  4. Step 4: Simplify right side
    2,575.74x = 4,964,854.51
  5. Step 5: Solve for x
    x = 4,964,854.51/2,575.74
  6. Step 6: Final answer
    x = 1,927.54

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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.