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Finding the Fourth Proportional to 2,409.57, 3,615.72 and 1,314.01

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Solution

The fourth proportional to 2,409.57, 3,615.72 and 1,314.01 is: 1,971.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409.57 : 3,615.72 = 1,314.01 : x
  2. Step 2: Convert to fraction form
    2,409.57/3,615.72 = 1,314.01/x
  3. Step 3: Cross multiply
    2,409.57x = 3,615.72 × 1,314.01
  4. Step 4: Simplify right side
    2,409.57x = 4,751,092.24
  5. Step 5: Solve for x
    x = 4,751,092.24/2,409.57
  6. Step 6: Final answer
    x = 1,971.76

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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.