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Finding the Fourth Proportional to 3,109.71, 4,291.56 and 1,783.68

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Solution

The fourth proportional to 3,109.71, 4,291.56 and 1,783.68 is: 2,461.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,109.71 : 4,291.56 = 1,783.68 : x
  2. Step 2: Convert to fraction form
    3,109.71/4,291.56 = 1,783.68/x
  3. Step 3: Cross multiply
    3,109.71x = 4,291.56 × 1,783.68
  4. Step 4: Simplify right side
    3,109.71x = 7,654,769.74
  5. Step 5: Solve for x
    x = 7,654,769.74/3,109.71
  6. Step 6: Final answer
    x = 2,461.57

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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.