Home / 1,214.29-1,821.75-348.67

Finding the Fourth Proportional to 1,214.29, 1,821.75 and 348.67

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Solution

The fourth proportional to 1,214.29, 1,821.75 and 348.67 is: 523.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.29 : 1,821.75 = 348.67 : x
  2. Step 2: Convert to fraction form
    1,214.29/1,821.75 = 348.67/x
  3. Step 3: Cross multiply
    1,214.29x = 1,821.75 × 348.67
  4. Step 4: Simplify right side
    1,214.29x = 635,189.57
  5. Step 5: Solve for x
    x = 635,189.57/1,214.29
  6. Step 6: Final answer
    x = 523.10

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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.