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Finding the Fourth Proportional to 3,409.60, 5,113.20 and 1,561.60

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Solution

The fourth proportional to 3,409.60, 5,113.20 and 1,561.60 is: 2,341.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.60 : 5,113.20 = 1,561.60 : x
  2. Step 2: Convert to fraction form
    3,409.60/5,113.20 = 1,561.60/x
  3. Step 3: Cross multiply
    3,409.60x = 5,113.20 × 1,561.60
  4. Step 4: Simplify right side
    3,409.60x = 7,984,773.12
  5. Step 5: Solve for x
    x = 7,984,773.12/3,409.60
  6. Step 6: Final answer
    x = 2,341.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.