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Finding the Fourth Proportional to 2,257.72, 3,384.12 and 1,436.36

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Solution

The fourth proportional to 2,257.72, 3,384.12 and 1,436.36 is: 2,152.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.72 : 3,384.12 = 1,436.36 : x
  2. Step 2: Convert to fraction form
    2,257.72/3,384.12 = 1,436.36/x
  3. Step 3: Cross multiply
    2,257.72x = 3,384.12 × 1,436.36
  4. Step 4: Simplify right side
    2,257.72x = 4,860,814.60
  5. Step 5: Solve for x
    x = 4,860,814.60/2,257.72
  6. Step 6: Final answer
    x = 2,152.97

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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.