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Finding the Fourth Proportional to 3,047.29, 4,205.27 and 1,650.04

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Solution

The fourth proportional to 3,047.29, 4,205.27 and 1,650.04 is: 2,277.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,047.29 : 4,205.27 = 1,650.04 : x
  2. Step 2: Convert to fraction form
    3,047.29/4,205.27 = 1,650.04/x
  3. Step 3: Cross multiply
    3,047.29x = 4,205.27 × 1,650.04
  4. Step 4: Simplify right side
    3,047.29x = 6,938,863.71
  5. Step 5: Solve for x
    x = 6,938,863.71/3,047.29
  6. Step 6: Final answer
    x = 2,277.06

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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.