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Finding the Fourth Proportional to 2,829.90, 3,905.55 and 1,650.90

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Solution

The fourth proportional to 2,829.90, 3,905.55 and 1,650.90 is: 2,278.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,829.90 : 3,905.55 = 1,650.90 : x
  2. Step 2: Convert to fraction form
    2,829.90/3,905.55 = 1,650.90/x
  3. Step 3: Cross multiply
    2,829.90x = 3,905.55 × 1,650.90
  4. Step 4: Simplify right side
    2,829.90x = 6,447,672.50
  5. Step 5: Solve for x
    x = 6,447,672.50/2,829.90
  6. Step 6: Final answer
    x = 2,278.41

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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.