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Finding the Fourth Proportional to 2,428.71, 3,351.76 and 1,838.22

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Solution

The fourth proportional to 2,428.71, 3,351.76 and 1,838.22 is: 2,536.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,428.71 : 3,351.76 = 1,838.22 : x
  2. Step 2: Convert to fraction form
    2,428.71/3,351.76 = 1,838.22/x
  3. Step 3: Cross multiply
    2,428.71x = 3,351.76 × 1,838.22
  4. Step 4: Simplify right side
    2,428.71x = 6,161,267.67
  5. Step 5: Solve for x
    x = 6,161,267.67/2,428.71
  6. Step 6: Final answer
    x = 2,536.85

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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.