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Finding the Fourth Proportional to 2,652.36, 3,657.82 and 1,706.49

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Solution

The fourth proportional to 2,652.36, 3,657.82 and 1,706.49 is: 2,353.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.36 : 3,657.82 = 1,706.49 : x
  2. Step 2: Convert to fraction form
    2,652.36/3,657.82 = 1,706.49/x
  3. Step 3: Cross multiply
    2,652.36x = 3,657.82 × 1,706.49
  4. Step 4: Simplify right side
    2,652.36x = 6,242,033.25
  5. Step 5: Solve for x
    x = 6,242,033.25/2,652.36
  6. Step 6: Final answer
    x = 2,353.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.