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Finding the Fourth Proportional to 1,443.84, 2,149.68 and 1,426.56

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Solution

The fourth proportional to 1,443.84, 2,149.68 and 1,426.56 is: 2,123.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,443.84 : 2,149.68 = 1,426.56 : x
  2. Step 2: Convert to fraction form
    1,443.84/2,149.68 = 1,426.56/x
  3. Step 3: Cross multiply
    1,443.84x = 2,149.68 × 1,426.56
  4. Step 4: Simplify right side
    1,443.84x = 3,066,647.50
  5. Step 5: Solve for x
    x = 3,066,647.50/1,443.84
  6. Step 6: Final answer
    x = 2,123.95

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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.