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Finding the Fourth Proportional to 1,422.84, 2,120.55 and 1,420.68

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Solution

The fourth proportional to 1,422.84, 2,120.55 and 1,420.68 is: 2,117.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.84 : 2,120.55 = 1,420.68 : x
  2. Step 2: Convert to fraction form
    1,422.84/2,120.55 = 1,420.68/x
  3. Step 3: Cross multiply
    1,422.84x = 2,120.55 × 1,420.68
  4. Step 4: Simplify right side
    1,422.84x = 3,012,622.97
  5. Step 5: Solve for x
    x = 3,012,622.97/1,422.84
  6. Step 6: Final answer
    x = 2,117.33

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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.