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Finding the Fourth Proportional to 3,032.57, 4,185.02 and 1,706.42

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Solution

The fourth proportional to 3,032.57, 4,185.02 and 1,706.42 is: 2,354.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,032.57 : 4,185.02 = 1,706.42 : x
  2. Step 2: Convert to fraction form
    3,032.57/4,185.02 = 1,706.42/x
  3. Step 3: Cross multiply
    3,032.57x = 4,185.02 × 1,706.42
  4. Step 4: Simplify right side
    3,032.57x = 7,141,393.30
  5. Step 5: Solve for x
    x = 7,141,393.30/3,032.57
  6. Step 6: Final answer
    x = 2,354.90

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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.