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Finding the Fourth Proportional to 1,631.51, 2,250.50 and 968.22

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Solution

The fourth proportional to 1,631.51, 2,250.50 and 968.22 is: 1,335.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,631.51 : 2,250.50 = 968.22 : x
  2. Step 2: Convert to fraction form
    1,631.51/2,250.50 = 968.22/x
  3. Step 3: Cross multiply
    1,631.51x = 2,250.50 × 968.22
  4. Step 4: Simplify right side
    1,631.51x = 2,178,982.71
  5. Step 5: Solve for x
    x = 2,178,982.71/1,631.51
  6. Step 6: Final answer
    x = 1,335.56

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