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Finding the Fourth Proportional to 2,257.34, 3,384.26 and 1,435.46

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Solution

The fourth proportional to 2,257.34, 3,384.26 and 1,435.46 is: 2,152.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.34 : 3,384.26 = 1,435.46 : x
  2. Step 2: Convert to fraction form
    2,257.34/3,384.26 = 1,435.46/x
  3. Step 3: Cross multiply
    2,257.34x = 3,384.26 × 1,435.46
  4. Step 4: Simplify right side
    2,257.34x = 4,857,962.68
  5. Step 5: Solve for x
    x = 4,857,962.68/2,257.34
  6. Step 6: Final answer
    x = 2,152.07

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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.