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Finding the Fourth Proportional to 2,127.08, 3,190.52 and 646.25

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Solution

The fourth proportional to 2,127.08, 3,190.52 and 646.25 is: 969.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,127.08 : 3,190.52 = 646.25 : x
  2. Step 2: Convert to fraction form
    2,127.08/3,190.52 = 646.25/x
  3. Step 3: Cross multiply
    2,127.08x = 3,190.52 × 646.25
  4. Step 4: Simplify right side
    2,127.08x = 2,061,859.21
  5. Step 5: Solve for x
    x = 2,061,859.21/2,127.08
  6. Step 6: Final answer
    x = 969.34

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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.