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Finding the Fourth Proportional to 3,167.36, 4,752.84 and 1,706.48

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Solution

The fourth proportional to 3,167.36, 4,752.84 and 1,706.48 is: 2,560.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,167.36 : 4,752.84 = 1,706.48 : x
  2. Step 2: Convert to fraction form
    3,167.36/4,752.84 = 1,706.48/x
  3. Step 3: Cross multiply
    3,167.36x = 4,752.84 × 1,706.48
  4. Step 4: Simplify right side
    3,167.36x = 8,110,626.40
  5. Step 5: Solve for x
    x = 8,110,626.40/3,167.36
  6. Step 6: Final answer
    x = 2,560.69

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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.