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Finding the Fourth Proportional to 2,835.32, 4,253.54 and 887.67

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Solution

The fourth proportional to 2,835.32, 4,253.54 and 887.67 is: 1,331.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,835.32 : 4,253.54 = 887.67 : x
  2. Step 2: Convert to fraction form
    2,835.32/4,253.54 = 887.67/x
  3. Step 3: Cross multiply
    2,835.32x = 4,253.54 × 887.67
  4. Step 4: Simplify right side
    2,835.32x = 3,775,735.41
  5. Step 5: Solve for x
    x = 3,775,735.41/2,835.32
  6. Step 6: Final answer
    x = 1,331.68

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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.