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Finding the Fourth Proportional to 1,437.65, 1,982.73 and 1,214.67

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Solution

The fourth proportional to 1,437.65, 1,982.73 and 1,214.67 is: 1,675.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,437.65 : 1,982.73 = 1,214.67 : x
  2. Step 2: Convert to fraction form
    1,437.65/1,982.73 = 1,214.67/x
  3. Step 3: Cross multiply
    1,437.65x = 1,982.73 × 1,214.67
  4. Step 4: Simplify right side
    1,437.65x = 2,408,370.08
  5. Step 5: Solve for x
    x = 2,408,370.08/1,437.65
  6. Step 6: Final answer
    x = 1,675.22

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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.