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Finding the Fourth Proportional to 2,709.06, 4,061.62 and 1,829.39

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Solution

The fourth proportional to 2,709.06, 4,061.62 and 1,829.39 is: 2,742.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.06 : 4,061.62 = 1,829.39 : x
  2. Step 2: Convert to fraction form
    2,709.06/4,061.62 = 1,829.39/x
  3. Step 3: Cross multiply
    2,709.06x = 4,061.62 × 1,829.39
  4. Step 4: Simplify right side
    2,709.06x = 7,430,275.42
  5. Step 5: Solve for x
    x = 7,430,275.42/2,709.06
  6. Step 6: Final answer
    x = 2,742.75

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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.