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Finding the Fourth Proportional to 2,309.80, 3,460.60 and 1,760.32

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Solution

The fourth proportional to 2,309.80, 3,460.60 and 1,760.32 is: 2,637.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.80 : 3,460.60 = 1,760.32 : x
  2. Step 2: Convert to fraction form
    2,309.80/3,460.60 = 1,760.32/x
  3. Step 3: Cross multiply
    2,309.80x = 3,460.60 × 1,760.32
  4. Step 4: Simplify right side
    2,309.80x = 6,091,763.39
  5. Step 5: Solve for x
    x = 6,091,763.39/2,309.80
  6. Step 6: Final answer
    x = 2,637.36

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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.