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Finding the Fourth Proportional to 2,124.72, 3,188.52 and 1,636.08

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Solution

The fourth proportional to 2,124.72, 3,188.52 and 1,636.08 is: 2,455.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.72 : 3,188.52 = 1,636.08 : x
  2. Step 2: Convert to fraction form
    2,124.72/3,188.52 = 1,636.08/x
  3. Step 3: Cross multiply
    2,124.72x = 3,188.52 × 1,636.08
  4. Step 4: Simplify right side
    2,124.72x = 5,216,673.80
  5. Step 5: Solve for x
    x = 5,216,673.80/2,124.72
  6. Step 6: Final answer
    x = 2,455.23

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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.