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Finding the Fourth Proportional to 2,632.50, 3,632.90 and 1,702.62

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Solution

The fourth proportional to 2,632.50, 3,632.90 and 1,702.62 is: 2,349.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,632.50 : 3,632.90 = 1,702.62 : x
  2. Step 2: Convert to fraction form
    2,632.50/3,632.90 = 1,702.62/x
  3. Step 3: Cross multiply
    2,632.50x = 3,632.90 × 1,702.62
  4. Step 4: Simplify right side
    2,632.50x = 6,185,439.68
  5. Step 5: Solve for x
    x = 6,185,439.68/2,632.50
  6. Step 6: Final answer
    x = 2,349.64

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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.