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Finding the Fourth Proportional to 2,335.28, 3,496.74 and 1,409.60

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Solution

The fourth proportional to 2,335.28, 3,496.74 and 1,409.60 is: 2,110.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,335.28 : 3,496.74 = 1,409.60 : x
  2. Step 2: Convert to fraction form
    2,335.28/3,496.74 = 1,409.60/x
  3. Step 3: Cross multiply
    2,335.28x = 3,496.74 × 1,409.60
  4. Step 4: Simplify right side
    2,335.28x = 4,929,004.70
  5. Step 5: Solve for x
    x = 4,929,004.70/2,335.28
  6. Step 6: Final answer
    x = 2,110.67

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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.