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Finding the Fourth Proportional to 3,084.57, 4,626.84 and 1,032.57

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Solution

The fourth proportional to 3,084.57, 4,626.84 and 1,032.57 is: 1,548.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,084.57 : 4,626.84 = 1,032.57 : x
  2. Step 2: Convert to fraction form
    3,084.57/4,626.84 = 1,032.57/x
  3. Step 3: Cross multiply
    3,084.57x = 4,626.84 × 1,032.57
  4. Step 4: Simplify right side
    3,084.57x = 4,777,536.18
  5. Step 5: Solve for x
    x = 4,777,536.18/3,084.57
  6. Step 6: Final answer
    x = 1,548.85

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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.