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Finding the Fourth Proportional to 2,829.06, 3,903.15 and 1,709.57

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Solution

The fourth proportional to 2,829.06, 3,903.15 and 1,709.57 is: 2,358.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,829.06 : 3,903.15 = 1,709.57 : x
  2. Step 2: Convert to fraction form
    2,829.06/3,903.15 = 1,709.57/x
  3. Step 3: Cross multiply
    2,829.06x = 3,903.15 × 1,709.57
  4. Step 4: Simplify right side
    2,829.06x = 6,672,688.63
  5. Step 5: Solve for x
    x = 6,672,688.63/2,829.06
  6. Step 6: Final answer
    x = 2,358.62

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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.