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Finding the Fourth Proportional to 1,424.34, 2,133.68 and 1,114.65

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Solution

The fourth proportional to 1,424.34, 2,133.68 and 1,114.65 is: 1,669.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.34 : 2,133.68 = 1,114.65 : x
  2. Step 2: Convert to fraction form
    1,424.34/2,133.68 = 1,114.65/x
  3. Step 3: Cross multiply
    1,424.34x = 2,133.68 × 1,114.65
  4. Step 4: Simplify right side
    1,424.34x = 2,378,300.84
  5. Step 5: Solve for x
    x = 2,378,300.84/1,424.34
  6. Step 6: Final answer
    x = 1,669.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.