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Finding the Fourth Proportional to 3,047.84, 4,206.03 and 1,650.59

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Solution

The fourth proportional to 3,047.84, 4,206.03 and 1,650.59 is: 2,277.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,047.84 : 4,206.03 = 1,650.59 : x
  2. Step 2: Convert to fraction form
    3,047.84/4,206.03 = 1,650.59/x
  3. Step 3: Cross multiply
    3,047.84x = 4,206.03 × 1,650.59
  4. Step 4: Simplify right side
    3,047.84x = 6,942,443.27
  5. Step 5: Solve for x
    x = 6,942,443.27/3,047.84
  6. Step 6: Final answer
    x = 2,277.82

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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.