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Finding the Fourth Proportional to 2,433.69, 3,358.49 and 1,439.46

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Solution

The fourth proportional to 2,433.69, 3,358.49 and 1,439.46 is: 1,986.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,433.69 : 3,358.49 = 1,439.46 : x
  2. Step 2: Convert to fraction form
    2,433.69/3,358.49 = 1,439.46/x
  3. Step 3: Cross multiply
    2,433.69x = 3,358.49 × 1,439.46
  4. Step 4: Simplify right side
    2,433.69x = 4,834,415.61
  5. Step 5: Solve for x
    x = 4,834,415.61/2,433.69
  6. Step 6: Final answer
    x = 1,986.45

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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.