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Finding the Fourth Proportional to 2,376.84, 3,581.49 and 1,953.48

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Solution

The fourth proportional to 2,376.84, 3,581.49 and 1,953.48 is: 2,943.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,376.84 : 3,581.49 = 1,953.48 : x
  2. Step 2: Convert to fraction form
    2,376.84/3,581.49 = 1,953.48/x
  3. Step 3: Cross multiply
    2,376.84x = 3,581.49 × 1,953.48
  4. Step 4: Simplify right side
    2,376.84x = 6,996,369.09
  5. Step 5: Solve for x
    x = 6,996,369.09/2,376.84
  6. Step 6: Final answer
    x = 2,943.56

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.