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Finding the Fourth Proportional to 3,109.76, 4,291.51 and 1,783.58

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Solution

The fourth proportional to 3,109.76, 4,291.51 and 1,783.58 is: 2,461.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,109.76 : 4,291.51 = 1,783.58 : x
  2. Step 2: Convert to fraction form
    3,109.76/4,291.51 = 1,783.58/x
  3. Step 3: Cross multiply
    3,109.76x = 4,291.51 × 1,783.58
  4. Step 4: Simplify right side
    3,109.76x = 7,654,257.68
  5. Step 5: Solve for x
    x = 7,654,257.68/3,109.76
  6. Step 6: Final answer
    x = 2,461.37

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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.