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Finding the Fourth Proportional to 3,207.74, 4,810.21 and 1,127.34

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Solution

The fourth proportional to 3,207.74, 4,810.21 and 1,127.34 is: 1,690.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,207.74 : 4,810.21 = 1,127.34 : x
  2. Step 2: Convert to fraction form
    3,207.74/4,810.21 = 1,127.34/x
  3. Step 3: Cross multiply
    3,207.74x = 4,810.21 × 1,127.34
  4. Step 4: Simplify right side
    3,207.74x = 5,422,739.32
  5. Step 5: Solve for x
    x = 5,422,739.32/3,207.74
  6. Step 6: Final answer
    x = 1,690.52

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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.