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Finding the Fourth Proportional to 3,047.69, 4,205.51 and 1,771.22

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Solution

The fourth proportional to 3,047.69, 4,205.51 and 1,771.22 is: 2,444.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,047.69 : 4,205.51 = 1,771.22 : x
  2. Step 2: Convert to fraction form
    3,047.69/4,205.51 = 1,771.22/x
  3. Step 3: Cross multiply
    3,047.69x = 4,205.51 × 1,771.22
  4. Step 4: Simplify right side
    3,047.69x = 7,448,883.42
  5. Step 5: Solve for x
    x = 7,448,883.42/3,047.69
  6. Step 6: Final answer
    x = 2,444.11

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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.