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Finding the Fourth Proportional to 3,069.34, 4,602.36 and 1,220.38

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Solution

The fourth proportional to 3,069.34, 4,602.36 and 1,220.38 is: 1,829.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,069.34 : 4,602.36 = 1,220.38 : x
  2. Step 2: Convert to fraction form
    3,069.34/4,602.36 = 1,220.38/x
  3. Step 3: Cross multiply
    3,069.34x = 4,602.36 × 1,220.38
  4. Step 4: Simplify right side
    3,069.34x = 5,616,628.10
  5. Step 5: Solve for x
    x = 5,616,628.10/3,069.34
  6. Step 6: Final answer
    x = 1,829.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.