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Finding the Fourth Proportional to 2,632.69, 3,946.60 and 990.33

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Solution

The fourth proportional to 2,632.69, 3,946.60 and 990.33 is: 1,484.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,632.69 : 3,946.60 = 990.33 : x
  2. Step 2: Convert to fraction form
    2,632.69/3,946.60 = 990.33/x
  3. Step 3: Cross multiply
    2,632.69x = 3,946.60 × 990.33
  4. Step 4: Simplify right side
    2,632.69x = 3,908,424.04
  5. Step 5: Solve for x
    x = 3,908,424.04/2,632.69
  6. Step 6: Final answer
    x = 1,484.57

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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.