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Finding the Fourth Proportional to 3,047.71, 4,205.86 and 1,650.46

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Solution

The fourth proportional to 3,047.71, 4,205.86 and 1,650.46 is: 2,277.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,047.71 : 4,205.86 = 1,650.46 : x
  2. Step 2: Convert to fraction form
    3,047.71/4,205.86 = 1,650.46/x
  3. Step 3: Cross multiply
    3,047.71x = 4,205.86 × 1,650.46
  4. Step 4: Simplify right side
    3,047.71x = 6,941,603.70
  5. Step 5: Solve for x
    x = 6,941,603.70/3,047.71
  6. Step 6: Final answer
    x = 2,277.65

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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.