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Finding the Fourth Proportional to 3,131.40, 4,321.08 and 1,734.16

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Solution

The fourth proportional to 3,131.40, 4,321.08 and 1,734.16 is: 2,393.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,131.40 : 4,321.08 = 1,734.16 : x
  2. Step 2: Convert to fraction form
    3,131.40/4,321.08 = 1,734.16/x
  3. Step 3: Cross multiply
    3,131.40x = 4,321.08 × 1,734.16
  4. Step 4: Simplify right side
    3,131.40x = 7,493,444.09
  5. Step 5: Solve for x
    x = 7,493,444.09/3,131.40
  6. Step 6: Final answer
    x = 2,393.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.