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Finding the Fourth Proportional to 3,052.02, 4,578.32 and 830.88

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Solution

The fourth proportional to 3,052.02, 4,578.32 and 830.88 is: 1,246.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,052.02 : 4,578.32 = 830.88 : x
  2. Step 2: Convert to fraction form
    3,052.02/4,578.32 = 830.88/x
  3. Step 3: Cross multiply
    3,052.02x = 4,578.32 × 830.88
  4. Step 4: Simplify right side
    3,052.02x = 3,804,007.48
  5. Step 5: Solve for x
    x = 3,804,007.48/3,052.02
  6. Step 6: Final answer
    x = 1,246.39

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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.