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Finding the Fourth Proportional to 1,461.81, 2,016.67 and 990.25

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Solution

The fourth proportional to 1,461.81, 2,016.67 and 990.25 is: 1,366.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.81 : 2,016.67 = 990.25 : x
  2. Step 2: Convert to fraction form
    1,461.81/2,016.67 = 990.25/x
  3. Step 3: Cross multiply
    1,461.81x = 2,016.67 × 990.25
  4. Step 4: Simplify right side
    1,461.81x = 1,997,007.47
  5. Step 5: Solve for x
    x = 1,997,007.47/1,461.81
  6. Step 6: Final answer
    x = 1,366.12

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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.