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Finding the Fourth Proportional to 3,409.44, 5,109.48 and 1,460.40

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Solution

The fourth proportional to 3,409.44, 5,109.48 and 1,460.40 is: 2,188.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.44 : 5,109.48 = 1,460.40 : x
  2. Step 2: Convert to fraction form
    3,409.44/5,109.48 = 1,460.40/x
  3. Step 3: Cross multiply
    3,409.44x = 5,109.48 × 1,460.40
  4. Step 4: Simplify right side
    3,409.44x = 7,461,884.59
  5. Step 5: Solve for x
    x = 7,461,884.59/3,409.44
  6. Step 6: Final answer
    x = 2,188.60

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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.