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Finding the Fourth Proportional to 2,829.01, 3,904.19 and 1,650.01

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Solution

The fourth proportional to 2,829.01, 3,904.19 and 1,650.01 is: 2,277.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,829.01 : 3,904.19 = 1,650.01 : x
  2. Step 2: Convert to fraction form
    2,829.01/3,904.19 = 1,650.01/x
  3. Step 3: Cross multiply
    2,829.01x = 3,904.19 × 1,650.01
  4. Step 4: Simplify right side
    2,829.01x = 6,441,952.54
  5. Step 5: Solve for x
    x = 6,441,952.54/2,829.01
  6. Step 6: Final answer
    x = 2,277.10

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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.