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Finding the Fourth Proportional to 2,257.88, 3,367.57 and 1,913.48

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Solution

The fourth proportional to 2,257.88, 3,367.57 and 1,913.48 is: 2,853.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.88 : 3,367.57 = 1,913.48 : x
  2. Step 2: Convert to fraction form
    2,257.88/3,367.57 = 1,913.48/x
  3. Step 3: Cross multiply
    2,257.88x = 3,367.57 × 1,913.48
  4. Step 4: Simplify right side
    2,257.88x = 6,443,777.84
  5. Step 5: Solve for x
    x = 6,443,777.84/2,257.88
  6. Step 6: Final answer
    x = 2,853.91

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.