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Finding the Fourth Proportional to 2,333.96, 3,505.76 and 2,256.20

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Solution

The fourth proportional to 2,333.96, 3,505.76 and 2,256.20 is: 3,388.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,333.96 : 3,505.76 = 2,256.20 : x
  2. Step 2: Convert to fraction form
    2,333.96/3,505.76 = 2,256.20/x
  3. Step 3: Cross multiply
    2,333.96x = 3,505.76 × 2,256.20
  4. Step 4: Simplify right side
    2,333.96x = 7,909,695.71
  5. Step 5: Solve for x
    x = 7,909,695.71/2,333.96
  6. Step 6: Final answer
    x = 3,388.96

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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.