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Finding the Fourth Proportional to 2,482.97, 3,426.39 and 1,420.67

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Solution

The fourth proportional to 2,482.97, 3,426.39 and 1,420.67 is: 1,960.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,482.97 : 3,426.39 = 1,420.67 : x
  2. Step 2: Convert to fraction form
    2,482.97/3,426.39 = 1,420.67/x
  3. Step 3: Cross multiply
    2,482.97x = 3,426.39 × 1,420.67
  4. Step 4: Simplify right side
    2,482.97x = 4,867,752.35
  5. Step 5: Solve for x
    x = 4,867,752.35/2,482.97
  6. Step 6: Final answer
    x = 1,960.46

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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.