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Finding the Fourth Proportional to 3,052.15, 4,577.82 and 861.06

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Solution

The fourth proportional to 3,052.15, 4,577.82 and 861.06 is: 1,291.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,052.15 : 4,577.82 = 861.06 : x
  2. Step 2: Convert to fraction form
    3,052.15/4,577.82 = 861.06/x
  3. Step 3: Cross multiply
    3,052.15x = 4,577.82 × 861.06
  4. Step 4: Simplify right side
    3,052.15x = 3,941,768.40
  5. Step 5: Solve for x
    x = 3,941,768.40/3,052.15
  6. Step 6: Final answer
    x = 1,291.47

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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.