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Finding the Fourth Proportional to 2,441.84, 3,637.76 and 2,324.28

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Solution

The fourth proportional to 2,441.84, 3,637.76 and 2,324.28 is: 3,462.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,441.84 : 3,637.76 = 2,324.28 : x
  2. Step 2: Convert to fraction form
    2,441.84/3,637.76 = 2,324.28/x
  3. Step 3: Cross multiply
    2,441.84x = 3,637.76 × 2,324.28
  4. Step 4: Simplify right side
    2,441.84x = 8,455,172.81
  5. Step 5: Solve for x
    x = 8,455,172.81/2,441.84
  6. Step 6: Final answer
    x = 3,462.62

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.