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Finding the Fourth Proportional to 3,109.57, 4,291.10 and 1,783.29

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Solution

The fourth proportional to 3,109.57, 4,291.10 and 1,783.29 is: 2,460.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,109.57 : 4,291.10 = 1,783.29 : x
  2. Step 2: Convert to fraction form
    3,109.57/4,291.10 = 1,783.29/x
  3. Step 3: Cross multiply
    3,109.57x = 4,291.10 × 1,783.29
  4. Step 4: Simplify right side
    3,109.57x = 7,652,275.72
  5. Step 5: Solve for x
    x = 7,652,275.72/3,109.57
  6. Step 6: Final answer
    x = 2,460.88

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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.