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Finding the Fourth Proportional to 2,443.65, 3,663.24 and 981.81

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Solution

The fourth proportional to 2,443.65, 3,663.24 and 981.81 is: 1,471.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,443.65 : 3,663.24 = 981.81 : x
  2. Step 2: Convert to fraction form
    2,443.65/3,663.24 = 981.81/x
  3. Step 3: Cross multiply
    2,443.65x = 3,663.24 × 981.81
  4. Step 4: Simplify right side
    2,443.65x = 3,596,605.66
  5. Step 5: Solve for x
    x = 3,596,605.66/2,443.65
  6. Step 6: Final answer
    x = 1,471.82

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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.