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Finding the Fourth Proportional to 2,829.28, 3,903.52 and 1,649.51

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Solution

The fourth proportional to 2,829.28, 3,903.52 and 1,649.51 is: 2,275.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,829.28 : 3,903.52 = 1,649.51 : x
  2. Step 2: Convert to fraction form
    2,829.28/3,903.52 = 1,649.51/x
  3. Step 3: Cross multiply
    2,829.28x = 3,903.52 × 1,649.51
  4. Step 4: Simplify right side
    2,829.28x = 6,438,895.28
  5. Step 5: Solve for x
    x = 6,438,895.28/2,829.28
  6. Step 6: Final answer
    x = 2,275.81

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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.